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Finding the Fourth Proportional to 726.54, 1,002.61 and 427.71

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Solution

The fourth proportional to 726.54, 1,002.61 and 427.71 is: 590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.54 : 1,002.61 = 427.71 : x
  2. Step 2: Convert to fraction form
    726.54/1,002.61 = 427.71/x
  3. Step 3: Cross multiply
    726.54x = 1,002.61 × 427.71
  4. Step 4: Simplify right side
    726.54x = 428,830.62
  5. Step 5: Solve for x
    x = 428,830.62/726.54
  6. Step 6: Final answer
    x = 590.24

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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.