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Finding the Fourth Proportional to 968.38, 1,337.45 and 749.97

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Solution

The fourth proportional to 968.38, 1,337.45 and 749.97 is: 1,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.38 : 1,337.45 = 749.97 : x
  2. Step 2: Convert to fraction form
    968.38/1,337.45 = 749.97/x
  3. Step 3: Cross multiply
    968.38x = 1,337.45 × 749.97
  4. Step 4: Simplify right side
    968.38x = 1,003,052.60
  5. Step 5: Solve for x
    x = 1,003,052.60/968.38
  6. Step 6: Final answer
    x = 1,035.80

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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.