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Finding the Fourth Proportional to 460.49, 686.97 and 447.93

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Solution

The fourth proportional to 460.49, 686.97 and 447.93 is: 668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 686.97 = 447.93 : x
  2. Step 2: Convert to fraction form
    460.49/686.97 = 447.93/x
  3. Step 3: Cross multiply
    460.49x = 686.97 × 447.93
  4. Step 4: Simplify right side
    460.49x = 307,714.47
  5. Step 5: Solve for x
    x = 307,714.47/460.49
  6. Step 6: Final answer
    x = 668.24

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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.