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Finding the Fourth Proportional to 576.32, 867.86 and 519.22

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Solution

The fourth proportional to 576.32, 867.86 and 519.22 is: 781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.32 : 867.86 = 519.22 : x
  2. Step 2: Convert to fraction form
    576.32/867.86 = 519.22/x
  3. Step 3: Cross multiply
    576.32x = 867.86 × 519.22
  4. Step 4: Simplify right side
    576.32x = 450,605.93
  5. Step 5: Solve for x
    x = 450,605.93/576.32
  6. Step 6: Final answer
    x = 781.87

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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.