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Finding the Fourth Proportional to 726.91, 1,003.05 and 428.07

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Solution

The fourth proportional to 726.91, 1,003.05 and 428.07 is: 590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.91 : 1,003.05 = 428.07 : x
  2. Step 2: Convert to fraction form
    726.91/1,003.05 = 428.07/x
  3. Step 3: Cross multiply
    726.91x = 1,003.05 × 428.07
  4. Step 4: Simplify right side
    726.91x = 429,375.61
  5. Step 5: Solve for x
    x = 429,375.61/726.91
  6. Step 6: Final answer
    x = 590.69

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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.