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Finding the Fourth Proportional to 576.29, 867.50 and 516.75

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Solution

The fourth proportional to 576.29, 867.50 and 516.75 is: 777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.29 : 867.50 = 516.75 : x
  2. Step 2: Convert to fraction form
    576.29/867.50 = 516.75/x
  3. Step 3: Cross multiply
    576.29x = 867.50 × 516.75
  4. Step 4: Simplify right side
    576.29x = 448,281.92
  5. Step 5: Solve for x
    x = 448,281.92/576.29
  6. Step 6: Final answer
    x = 777.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.