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Finding the Fourth Proportional to 686.52, 1,023.27 and 646.59

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Solution

The fourth proportional to 686.52, 1,023.27 and 646.59 is: 963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 1,023.27 = 646.59 : x
  2. Step 2: Convert to fraction form
    686.52/1,023.27 = 646.59/x
  3. Step 3: Cross multiply
    686.52x = 1,023.27 × 646.59
  4. Step 4: Simplify right side
    686.52x = 661,636.15
  5. Step 5: Solve for x
    x = 661,636.15/686.52
  6. Step 6: Final answer
    x = 963.75

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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.