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Finding the Fourth Proportional to 706.64, 976.08 and 542.87

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Solution

The fourth proportional to 706.64, 976.08 and 542.87 is: 749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 976.08 = 542.87 : x
  2. Step 2: Convert to fraction form
    706.64/976.08 = 542.87/x
  3. Step 3: Cross multiply
    706.64x = 976.08 × 542.87
  4. Step 4: Simplify right side
    706.64x = 529,885.97
  5. Step 5: Solve for x
    x = 529,885.97/706.64
  6. Step 6: Final answer
    x = 749.86

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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.