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Finding the Fourth Proportional to 726.93, 1,003.32 and 538.47

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Solution

The fourth proportional to 726.93, 1,003.32 and 538.47 is: 743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.93 : 1,003.32 = 538.47 : x
  2. Step 2: Convert to fraction form
    726.93/1,003.32 = 538.47/x
  3. Step 3: Cross multiply
    726.93x = 1,003.32 × 538.47
  4. Step 4: Simplify right side
    726.93x = 540,257.72
  5. Step 5: Solve for x
    x = 540,257.72/726.93
  6. Step 6: Final answer
    x = 743.20

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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.