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Finding the Fourth Proportional to 686.26, 944.49 and 545.91

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Solution

The fourth proportional to 686.26, 944.49 and 545.91 is: 751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 944.49 = 545.91 : x
  2. Step 2: Convert to fraction form
    686.26/944.49 = 545.91/x
  3. Step 3: Cross multiply
    686.26x = 944.49 × 545.91
  4. Step 4: Simplify right side
    686.26x = 515,606.54
  5. Step 5: Solve for x
    x = 515,606.54/686.26
  6. Step 6: Final answer
    x = 751.33

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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.