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Finding the Fourth Proportional to 749.61, 1,031.27 and 710.73

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Solution

The fourth proportional to 749.61, 1,031.27 and 710.73 is: 977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.61 : 1,031.27 = 710.73 : x
  2. Step 2: Convert to fraction form
    749.61/1,031.27 = 710.73/x
  3. Step 3: Cross multiply
    749.61x = 1,031.27 × 710.73
  4. Step 4: Simplify right side
    749.61x = 732,950.97
  5. Step 5: Solve for x
    x = 732,950.97/749.61
  6. Step 6: Final answer
    x = 977.78

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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.