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Finding the Fourth Proportional to 576.90, 861.57 and 504

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Solution

The fourth proportional to 576.90, 861.57 and 504 is: 752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.90 : 861.57 = 504 : x
  2. Step 2: Convert to fraction form
    576.90/861.57 = 504/x
  3. Step 3: Cross multiply
    576.90x = 861.57 × 504
  4. Step 4: Simplify right side
    576.90x = 434,231.28
  5. Step 5: Solve for x
    x = 434,231.28/576.90
  6. Step 6: Final answer
    x = 752.70

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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.