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Finding the Fourth Proportional to 474.31, 706.13 and 472.02

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Solution

The fourth proportional to 474.31, 706.13 and 472.02 is: 702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.31 : 706.13 = 472.02 : x
  2. Step 2: Convert to fraction form
    474.31/706.13 = 472.02/x
  3. Step 3: Cross multiply
    474.31x = 706.13 × 472.02
  4. Step 4: Simplify right side
    474.31x = 333,307.48
  5. Step 5: Solve for x
    x = 333,307.48/474.31
  6. Step 6: Final answer
    x = 702.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.