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Finding the Fourth Proportional to 750.06, 1,033.56 and 516.78

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Solution

The fourth proportional to 750.06, 1,033.56 and 516.78 is: 712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.06 : 1,033.56 = 516.78 : x
  2. Step 2: Convert to fraction form
    750.06/1,033.56 = 516.78/x
  3. Step 3: Cross multiply
    750.06x = 1,033.56 × 516.78
  4. Step 4: Simplify right side
    750.06x = 534,123.14
  5. Step 5: Solve for x
    x = 534,123.14/750.06
  6. Step 6: Final answer
    x = 712.11

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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.