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Finding the Fourth Proportional to 686.31, 946.59 and 449.87

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Solution

The fourth proportional to 686.31, 946.59 and 449.87 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.31 : 946.59 = 449.87 : x
  2. Step 2: Convert to fraction form
    686.31/946.59 = 449.87/x
  3. Step 3: Cross multiply
    686.31x = 946.59 × 449.87
  4. Step 4: Simplify right side
    686.31x = 425,841.35
  5. Step 5: Solve for x
    x = 425,841.35/686.31
  6. Step 6: Final answer
    x = 620.48

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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.