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Finding the Fourth Proportional to 460.48, 685.82 and 447.70

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Solution

The fourth proportional to 460.48, 685.82 and 447.70 is: 666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 685.82 = 447.70 : x
  2. Step 2: Convert to fraction form
    460.48/685.82 = 447.70/x
  3. Step 3: Cross multiply
    460.48x = 685.82 × 447.70
  4. Step 4: Simplify right side
    460.48x = 307,041.61
  5. Step 5: Solve for x
    x = 307,041.61/460.48
  6. Step 6: Final answer
    x = 666.79

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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.