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Finding the Fourth Proportional to 726.62, 1,003.37 and 461.57

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Solution

The fourth proportional to 726.62, 1,003.37 and 461.57 is: 637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.62 : 1,003.37 = 461.57 : x
  2. Step 2: Convert to fraction form
    726.62/1,003.37 = 461.57/x
  3. Step 3: Cross multiply
    726.62x = 1,003.37 × 461.57
  4. Step 4: Simplify right side
    726.62x = 463,118.17
  5. Step 5: Solve for x
    x = 463,118.17/726.62
  6. Step 6: Final answer
    x = 637.36

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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.