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Finding the Fourth Proportional to 726.10, 1,002.10 and 431.53

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Solution

The fourth proportional to 726.10, 1,002.10 and 431.53 is: 595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.10 : 1,002.10 = 431.53 : x
  2. Step 2: Convert to fraction form
    726.10/1,002.10 = 431.53/x
  3. Step 3: Cross multiply
    726.10x = 1,002.10 × 431.53
  4. Step 4: Simplify right side
    726.10x = 432,431.20
  5. Step 5: Solve for x
    x = 432,431.20/726.10
  6. Step 6: Final answer
    x = 595.56

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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.