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Finding the Fourth Proportional to 1,636.81, 2,258.74 and 890.75

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Solution

The fourth proportional to 1,636.81, 2,258.74 and 890.75 is: 1,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.81 : 2,258.74 = 890.75 : x
  2. Step 2: Convert to fraction form
    1,636.81/2,258.74 = 890.75/x
  3. Step 3: Cross multiply
    1,636.81x = 2,258.74 × 890.75
  4. Step 4: Simplify right side
    1,636.81x = 2,011,981.30
  5. Step 5: Solve for x
    x = 2,011,981.30/1,636.81
  6. Step 6: Final answer
    x = 1,229.21

Related Problems

Find fourth proportional to 818.41, 1,129.37 and 445.38
Half scale
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Double scale
Find fourth proportional to 1,637.81, 2,260.12 and 891.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.