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Finding the Fourth Proportional to 917.92, 1,265.39 and 751.87

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Solution

The fourth proportional to 917.92, 1,265.39 and 751.87 is: 1,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.92 : 1,265.39 = 751.87 : x
  2. Step 2: Convert to fraction form
    917.92/1,265.39 = 751.87/x
  3. Step 3: Cross multiply
    917.92x = 1,265.39 × 751.87
  4. Step 4: Simplify right side
    917.92x = 951,405.02
  5. Step 5: Solve for x
    x = 951,405.02/917.92
  6. Step 6: Final answer
    x = 1,036.48

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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.