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Finding the Fourth Proportional to 460.89, 686.34 and 449.28

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Solution

The fourth proportional to 460.89, 686.34 and 449.28 is: 669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 686.34 = 449.28 : x
  2. Step 2: Convert to fraction form
    460.89/686.34 = 449.28/x
  3. Step 3: Cross multiply
    460.89x = 686.34 × 449.28
  4. Step 4: Simplify right side
    460.89x = 308,358.84
  5. Step 5: Solve for x
    x = 308,358.84/460.89
  6. Step 6: Final answer
    x = 669.05

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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.