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Finding the Fourth Proportional to 726.29, 1,001.94 and 477.51

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Solution

The fourth proportional to 726.29, 1,001.94 and 477.51 is: 658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.29 : 1,001.94 = 477.51 : x
  2. Step 2: Convert to fraction form
    726.29/1,001.94 = 477.51/x
  3. Step 3: Cross multiply
    726.29x = 1,001.94 × 477.51
  4. Step 4: Simplify right side
    726.29x = 478,436.37
  5. Step 5: Solve for x
    x = 478,436.37/726.29
  6. Step 6: Final answer
    x = 658.74

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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.