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Finding the Fourth Proportional to 707.39, 976.96 and 542.15

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Solution

The fourth proportional to 707.39, 976.96 and 542.15 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.39 : 976.96 = 542.15 : x
  2. Step 2: Convert to fraction form
    707.39/976.96 = 542.15/x
  3. Step 3: Cross multiply
    707.39x = 976.96 × 542.15
  4. Step 4: Simplify right side
    707.39x = 529,658.86
  5. Step 5: Solve for x
    x = 529,658.86/707.39
  6. Step 6: Final answer
    x = 748.75

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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.