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Finding the Fourth Proportional to 1,591.70, 2,387.55 and 814.10

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Solution

The fourth proportional to 1,591.70, 2,387.55 and 814.10 is: 1,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.70 : 2,387.55 = 814.10 : x
  2. Step 2: Convert to fraction form
    1,591.70/2,387.55 = 814.10/x
  3. Step 3: Cross multiply
    1,591.70x = 2,387.55 × 814.10
  4. Step 4: Simplify right side
    1,591.70x = 1,943,704.46
  5. Step 5: Solve for x
    x = 1,943,704.46/1,591.70
  6. Step 6: Final answer
    x = 1,221.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.