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Finding the Fourth Proportional to 697.91, 1,045.29 and 542.61

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Solution

The fourth proportional to 697.91, 1,045.29 and 542.61 is: 812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.91 : 1,045.29 = 542.61 : x
  2. Step 2: Convert to fraction form
    697.91/1,045.29 = 542.61/x
  3. Step 3: Cross multiply
    697.91x = 1,045.29 × 542.61
  4. Step 4: Simplify right side
    697.91x = 567,184.81
  5. Step 5: Solve for x
    x = 567,184.81/697.91
  6. Step 6: Final answer
    x = 812.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.