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Finding the Fourth Proportional to 686.48, 951.75 and 649.55

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Solution

The fourth proportional to 686.48, 951.75 and 649.55 is: 900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.48 : 951.75 = 649.55 : x
  2. Step 2: Convert to fraction form
    686.48/951.75 = 649.55/x
  3. Step 3: Cross multiply
    686.48x = 951.75 × 649.55
  4. Step 4: Simplify right side
    686.48x = 618,211.59
  5. Step 5: Solve for x
    x = 618,211.59/686.48
  6. Step 6: Final answer
    x = 900.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.