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Finding the Fourth Proportional to 456.84, 686.34 and 449.28

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Solution

The fourth proportional to 456.84, 686.34 and 449.28 is: 674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 686.34 = 449.28 : x
  2. Step 2: Convert to fraction form
    456.84/686.34 = 449.28/x
  3. Step 3: Cross multiply
    456.84x = 686.34 × 449.28
  4. Step 4: Simplify right side
    456.84x = 308,358.84
  5. Step 5: Solve for x
    x = 308,358.84/456.84
  6. Step 6: Final answer
    x = 674.98

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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.