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Finding the Fourth Proportional to 801.47, 1,105.25 and 521.78

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Solution

The fourth proportional to 801.47, 1,105.25 and 521.78 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.47 : 1,105.25 = 521.78 : x
  2. Step 2: Convert to fraction form
    801.47/1,105.25 = 521.78/x
  3. Step 3: Cross multiply
    801.47x = 1,105.25 × 521.78
  4. Step 4: Simplify right side
    801.47x = 576,697.35
  5. Step 5: Solve for x
    x = 576,697.35/801.47
  6. Step 6: Final answer
    x = 719.55

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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.