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Finding the Fourth Proportional to 690.08, 951.21 and 542.52

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Solution

The fourth proportional to 690.08, 951.21 and 542.52 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 951.21 = 542.52 : x
  2. Step 2: Convert to fraction form
    690.08/951.21 = 542.52/x
  3. Step 3: Cross multiply
    690.08x = 951.21 × 542.52
  4. Step 4: Simplify right side
    690.08x = 516,050.45
  5. Step 5: Solve for x
    x = 516,050.45/690.08
  6. Step 6: Final answer
    x = 747.82

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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.