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Finding the Fourth Proportional to 576.97, 861.26 and 507.78

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Solution

The fourth proportional to 576.97, 861.26 and 507.78 is: 757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.97 : 861.26 = 507.78 : x
  2. Step 2: Convert to fraction form
    576.97/861.26 = 507.78/x
  3. Step 3: Cross multiply
    576.97x = 861.26 × 507.78
  4. Step 4: Simplify right side
    576.97x = 437,330.60
  5. Step 5: Solve for x
    x = 437,330.60/576.97
  6. Step 6: Final answer
    x = 757.98

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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.