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Finding the Fourth Proportional to 710.97, 1,065.82 and 248.43

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Solution

The fourth proportional to 710.97, 1,065.82 and 248.43 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.97 : 1,065.82 = 248.43 : x
  2. Step 2: Convert to fraction form
    710.97/1,065.82 = 248.43/x
  3. Step 3: Cross multiply
    710.97x = 1,065.82 × 248.43
  4. Step 4: Simplify right side
    710.97x = 264,781.66
  5. Step 5: Solve for x
    x = 264,781.66/710.97
  6. Step 6: Final answer
    x = 372.42

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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.