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Finding the Fourth Proportional to 574.85, 861.35 and 520.17

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Solution

The fourth proportional to 574.85, 861.35 and 520.17 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.85 : 861.35 = 520.17 : x
  2. Step 2: Convert to fraction form
    574.85/861.35 = 520.17/x
  3. Step 3: Cross multiply
    574.85x = 861.35 × 520.17
  4. Step 4: Simplify right side
    574.85x = 448,045.83
  5. Step 5: Solve for x
    x = 448,045.83/574.85
  6. Step 6: Final answer
    x = 779.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.