Home / 1,204.20-1,661.31-890.19

Finding the Fourth Proportional to 1,204.20, 1,661.31 and 890.19

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Solution

The fourth proportional to 1,204.20, 1,661.31 and 890.19 is: 1,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.20 : 1,661.31 = 890.19 : x
  2. Step 2: Convert to fraction form
    1,204.20/1,661.31 = 890.19/x
  3. Step 3: Cross multiply
    1,204.20x = 1,661.31 × 890.19
  4. Step 4: Simplify right side
    1,204.20x = 1,478,881.55
  5. Step 5: Solve for x
    x = 1,478,881.55/1,204.20
  6. Step 6: Final answer
    x = 1,228.10

Related Problems

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Half scale
Find fourth proportional to 2,408.40, 3,322.62 and 1,780.38
Double scale
Find fourth proportional to 1,205.20, 1,662.69 and 891.19
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.