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Finding the Fourth Proportional to 782.51, 1,079.20 and 516.97

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Solution

The fourth proportional to 782.51, 1,079.20 and 516.97 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.51 : 1,079.20 = 516.97 : x
  2. Step 2: Convert to fraction form
    782.51/1,079.20 = 516.97/x
  3. Step 3: Cross multiply
    782.51x = 1,079.20 × 516.97
  4. Step 4: Simplify right side
    782.51x = 557,911.49
  5. Step 5: Solve for x
    x = 557,911.49/782.51
  6. Step 6: Final answer
    x = 712.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.