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Finding the Fourth Proportional to 456.97, 685.77 and 348.97

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Solution

The fourth proportional to 456.97, 685.77 and 348.97 is: 523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.97 : 685.77 = 348.97 : x
  2. Step 2: Convert to fraction form
    456.97/685.77 = 348.97/x
  3. Step 3: Cross multiply
    456.97x = 685.77 × 348.97
  4. Step 4: Simplify right side
    456.97x = 239,313.16
  5. Step 5: Solve for x
    x = 239,313.16/456.97
  6. Step 6: Final answer
    x = 523.70

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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.