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Finding the Fourth Proportional to 723.86, 1,000.25 and 527.03

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Solution

The fourth proportional to 723.86, 1,000.25 and 527.03 is: 728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.86 : 1,000.25 = 527.03 : x
  2. Step 2: Convert to fraction form
    723.86/1,000.25 = 527.03/x
  3. Step 3: Cross multiply
    723.86x = 1,000.25 × 527.03
  4. Step 4: Simplify right side
    723.86x = 527,161.76
  5. Step 5: Solve for x
    x = 527,161.76/723.86
  6. Step 6: Final answer
    x = 728.26

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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.