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Finding the Fourth Proportional to 686.30, 1,027.17 and 463.64

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Solution

The fourth proportional to 686.30, 1,027.17 and 463.64 is: 693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 1,027.17 = 463.64 : x
  2. Step 2: Convert to fraction form
    686.30/1,027.17 = 463.64/x
  3. Step 3: Cross multiply
    686.30x = 1,027.17 × 463.64
  4. Step 4: Simplify right side
    686.30x = 476,231.96
  5. Step 5: Solve for x
    x = 476,231.96/686.30
  6. Step 6: Final answer
    x = 693.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.