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Finding the Fourth Proportional to 801.27, 1,201.41 and 476.85

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Solution

The fourth proportional to 801.27, 1,201.41 and 476.85 is: 714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.27 : 1,201.41 = 476.85 : x
  2. Step 2: Convert to fraction form
    801.27/1,201.41 = 476.85/x
  3. Step 3: Cross multiply
    801.27x = 1,201.41 × 476.85
  4. Step 4: Simplify right side
    801.27x = 572,892.36
  5. Step 5: Solve for x
    x = 572,892.36/801.27
  6. Step 6: Final answer
    x = 714.98

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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.