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Finding the Fourth Proportional to 757.07, 1,129.44 and 686.33

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Solution

The fourth proportional to 757.07, 1,129.44 and 686.33 is: 1,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.07 : 1,129.44 = 686.33 : x
  2. Step 2: Convert to fraction form
    757.07/1,129.44 = 686.33/x
  3. Step 3: Cross multiply
    757.07x = 1,129.44 × 686.33
  4. Step 4: Simplify right side
    757.07x = 775,170.27
  5. Step 5: Solve for x
    x = 775,170.27/757.07
  6. Step 6: Final answer
    x = 1,023.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.