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Finding the Fourth Proportional to 688.81, 951.75 and 542.60

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Solution

The fourth proportional to 688.81, 951.75 and 542.60 is: 749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.81 : 951.75 = 542.60 : x
  2. Step 2: Convert to fraction form
    688.81/951.75 = 542.60/x
  3. Step 3: Cross multiply
    688.81x = 951.75 × 542.60
  4. Step 4: Simplify right side
    688.81x = 516,419.55
  5. Step 5: Solve for x
    x = 516,419.55/688.81
  6. Step 6: Final answer
    x = 749.73

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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.