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Finding the Fourth Proportional to 575.42, 861.93 and 267.54

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Solution

The fourth proportional to 575.42, 861.93 and 267.54 is: 400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 861.93 = 267.54 : x
  2. Step 2: Convert to fraction form
    575.42/861.93 = 267.54/x
  3. Step 3: Cross multiply
    575.42x = 861.93 × 267.54
  4. Step 4: Simplify right side
    575.42x = 230,600.75
  5. Step 5: Solve for x
    x = 230,600.75/575.42
  6. Step 6: Final answer
    x = 400.75

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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.