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Finding the Fourth Proportional to 726.10, 1,000.02 and 712.60

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Solution

The fourth proportional to 726.10, 1,000.02 and 712.60 is: 981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.10 : 1,000.02 = 712.60 : x
  2. Step 2: Convert to fraction form
    726.10/1,000.02 = 712.60/x
  3. Step 3: Cross multiply
    726.10x = 1,000.02 × 712.60
  4. Step 4: Simplify right side
    726.10x = 712,614.25
  5. Step 5: Solve for x
    x = 712,614.25/726.10
  6. Step 6: Final answer
    x = 981.43

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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.