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Finding the Fourth Proportional to 750.03, 1,035.09 and 516.75

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Solution

The fourth proportional to 750.03, 1,035.09 and 516.75 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.03 : 1,035.09 = 516.75 : x
  2. Step 2: Convert to fraction form
    750.03/1,035.09 = 516.75/x
  3. Step 3: Cross multiply
    750.03x = 1,035.09 × 516.75
  4. Step 4: Simplify right side
    750.03x = 534,882.76
  5. Step 5: Solve for x
    x = 534,882.76/750.03
  6. Step 6: Final answer
    x = 713.15

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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.