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Finding the Fourth Proportional to 456.97, 685.31 and 127.83

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Solution

The fourth proportional to 456.97, 685.31 and 127.83 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.97 : 685.31 = 127.83 : x
  2. Step 2: Convert to fraction form
    456.97/685.31 = 127.83/x
  3. Step 3: Cross multiply
    456.97x = 685.31 × 127.83
  4. Step 4: Simplify right side
    456.97x = 87,603.18
  5. Step 5: Solve for x
    x = 87,603.18/456.97
  6. Step 6: Final answer
    x = 191.70

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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.