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Finding the Fourth Proportional to 706.86, 976.13 and 542.15

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Solution

The fourth proportional to 706.86, 976.13 and 542.15 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.86 : 976.13 = 542.15 : x
  2. Step 2: Convert to fraction form
    706.86/976.13 = 542.15/x
  3. Step 3: Cross multiply
    706.86x = 976.13 × 542.15
  4. Step 4: Simplify right side
    706.86x = 529,201.29
  5. Step 5: Solve for x
    x = 529,201.29/706.86
  6. Step 6: Final answer
    x = 748.66

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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.