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Finding the Fourth Proportional to 487.68, 726.74 and 474.31

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Solution

The fourth proportional to 487.68, 726.74 and 474.31 is: 706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.68 : 726.74 = 474.31 : x
  2. Step 2: Convert to fraction form
    487.68/726.74 = 474.31/x
  3. Step 3: Cross multiply
    487.68x = 726.74 × 474.31
  4. Step 4: Simplify right side
    487.68x = 344,702.41
  5. Step 5: Solve for x
    x = 344,702.41/487.68
  6. Step 6: Final answer
    x = 706.82

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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.