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Finding the Fourth Proportional to 574.90, 863.67 and 520.90

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Solution

The fourth proportional to 574.90, 863.67 and 520.90 is: 782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.90 : 863.67 = 520.90 : x
  2. Step 2: Convert to fraction form
    574.90/863.67 = 520.90/x
  3. Step 3: Cross multiply
    574.90x = 863.67 × 520.90
  4. Step 4: Simplify right side
    574.90x = 449,885.70
  5. Step 5: Solve for x
    x = 449,885.70/574.90
  6. Step 6: Final answer
    x = 782.55

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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.