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Finding the Fourth Proportional to 726.63, 1,002.71 and 407.58

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Solution

The fourth proportional to 726.63, 1,002.71 and 407.58 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.63 : 1,002.71 = 407.58 : x
  2. Step 2: Convert to fraction form
    726.63/1,002.71 = 407.58/x
  3. Step 3: Cross multiply
    726.63x = 1,002.71 × 407.58
  4. Step 4: Simplify right side
    726.63x = 408,687.90
  5. Step 5: Solve for x
    x = 408,687.90/726.63
  6. Step 6: Final answer
    x = 562.44

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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.