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Finding the Fourth Proportional to 801.31, 1,200.43 and 471.56

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Solution

The fourth proportional to 801.31, 1,200.43 and 471.56 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.31 : 1,200.43 = 471.56 : x
  2. Step 2: Convert to fraction form
    801.31/1,200.43 = 471.56/x
  3. Step 3: Cross multiply
    801.31x = 1,200.43 × 471.56
  4. Step 4: Simplify right side
    801.31x = 566,070.02
  5. Step 5: Solve for x
    x = 566,070.02/801.31
  6. Step 6: Final answer
    x = 706.43

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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.