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Finding the Fourth Proportional to 575.81, 862.55 and 267.23

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Solution

The fourth proportional to 575.81, 862.55 and 267.23 is: 400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.81 : 862.55 = 267.23 : x
  2. Step 2: Convert to fraction form
    575.81/862.55 = 267.23/x
  3. Step 3: Cross multiply
    575.81x = 862.55 × 267.23
  4. Step 4: Simplify right side
    575.81x = 230,493.59
  5. Step 5: Solve for x
    x = 230,493.59/575.81
  6. Step 6: Final answer
    x = 400.30

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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.