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Finding the Fourth Proportional to 751.92, 1,128.18 and 691.38

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Solution

The fourth proportional to 751.92, 1,128.18 and 691.38 is: 1,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.92 : 1,128.18 = 691.38 : x
  2. Step 2: Convert to fraction form
    751.92/1,128.18 = 691.38/x
  3. Step 3: Cross multiply
    751.92x = 1,128.18 × 691.38
  4. Step 4: Simplify right side
    751.92x = 780,001.09
  5. Step 5: Solve for x
    x = 780,001.09/751.92
  6. Step 6: Final answer
    x = 1,037.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.