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Finding the Fourth Proportional to 576.92, 861.22 and 535.91

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Solution

The fourth proportional to 576.92, 861.22 and 535.91 is: 800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.92 : 861.22 = 535.91 : x
  2. Step 2: Convert to fraction form
    576.92/861.22 = 535.91/x
  3. Step 3: Cross multiply
    576.92x = 861.22 × 535.91
  4. Step 4: Simplify right side
    576.92x = 461,536.41
  5. Step 5: Solve for x
    x = 461,536.41/576.92
  6. Step 6: Final answer
    x = 800.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.