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Finding the Fourth Proportional to 726.73, 1,002.56 and 446.94

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Solution

The fourth proportional to 726.73, 1,002.56 and 446.94 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.73 : 1,002.56 = 446.94 : x
  2. Step 2: Convert to fraction form
    726.73/1,002.56 = 446.94/x
  3. Step 3: Cross multiply
    726.73x = 1,002.56 × 446.94
  4. Step 4: Simplify right side
    726.73x = 448,084.17
  5. Step 5: Solve for x
    x = 448,084.17/726.73
  6. Step 6: Final answer
    x = 616.58

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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.