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Finding the Fourth Proportional to 807.47, 1,114.55 and 527.21

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Solution

The fourth proportional to 807.47, 1,114.55 and 527.21 is: 727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.47 : 1,114.55 = 527.21 : x
  2. Step 2: Convert to fraction form
    807.47/1,114.55 = 527.21/x
  3. Step 3: Cross multiply
    807.47x = 1,114.55 × 527.21
  4. Step 4: Simplify right side
    807.47x = 587,601.91
  5. Step 5: Solve for x
    x = 587,601.91/807.47
  6. Step 6: Final answer
    x = 727.71

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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.