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Finding the Fourth Proportional to 726.98, 1,003.19 and 530.55

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Solution

The fourth proportional to 726.98, 1,003.19 and 530.55 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.98 : 1,003.19 = 530.55 : x
  2. Step 2: Convert to fraction form
    726.98/1,003.19 = 530.55/x
  3. Step 3: Cross multiply
    726.98x = 1,003.19 × 530.55
  4. Step 4: Simplify right side
    726.98x = 532,239.80
  5. Step 5: Solve for x
    x = 532,239.80/726.98
  6. Step 6: Final answer
    x = 732.13

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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.