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Finding the Fourth Proportional to 782.11, 1,079.54 and 516.70

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Solution

The fourth proportional to 782.11, 1,079.54 and 516.70 is: 713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.11 : 1,079.54 = 516.70 : x
  2. Step 2: Convert to fraction form
    782.11/1,079.54 = 516.70/x
  3. Step 3: Cross multiply
    782.11x = 1,079.54 × 516.70
  4. Step 4: Simplify right side
    782.11x = 557,798.32
  5. Step 5: Solve for x
    x = 557,798.32/782.11
  6. Step 6: Final answer
    x = 713.20

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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.