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Finding the Fourth Proportional to 1,588.76, 2,192.53 and 890.18

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Solution

The fourth proportional to 1,588.76, 2,192.53 and 890.18 is: 1,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.76 : 2,192.53 = 890.18 : x
  2. Step 2: Convert to fraction form
    1,588.76/2,192.53 = 890.18/x
  3. Step 3: Cross multiply
    1,588.76x = 2,192.53 × 890.18
  4. Step 4: Simplify right side
    1,588.76x = 1,951,746.36
  5. Step 5: Solve for x
    x = 1,951,746.36/1,588.76
  6. Step 6: Final answer
    x = 1,228.47

Related Problems

Find fourth proportional to 794.38, 1,096.27 and 445.09
Half scale
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Double scale
Find fourth proportional to 1,589.76, 2,193.91 and 891.18
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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.