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Finding the Fourth Proportional to 461.28, 686.20 and 456.64

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Solution

The fourth proportional to 461.28, 686.20 and 456.64 is: 679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 686.20 = 456.64 : x
  2. Step 2: Convert to fraction form
    461.28/686.20 = 456.64/x
  3. Step 3: Cross multiply
    461.28x = 686.20 × 456.64
  4. Step 4: Simplify right side
    461.28x = 313,346.37
  5. Step 5: Solve for x
    x = 313,346.37/461.28
  6. Step 6: Final answer
    x = 679.30

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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.