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Finding the Fourth Proportional to 575.85, 862.39 and 331.86

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Solution

The fourth proportional to 575.85, 862.39 and 331.86 is: 496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.85 : 862.39 = 331.86 : x
  2. Step 2: Convert to fraction form
    575.85/862.39 = 331.86/x
  3. Step 3: Cross multiply
    575.85x = 862.39 × 331.86
  4. Step 4: Simplify right side
    575.85x = 286,192.75
  5. Step 5: Solve for x
    x = 286,192.75/575.85
  6. Step 6: Final answer
    x = 496.99

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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.