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Finding the Fourth Proportional to 575.47, 862.90 and 267.40

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Solution

The fourth proportional to 575.47, 862.90 and 267.40 is: 400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.47 : 862.90 = 267.40 : x
  2. Step 2: Convert to fraction form
    575.47/862.90 = 267.40/x
  3. Step 3: Cross multiply
    575.47x = 862.90 × 267.40
  4. Step 4: Simplify right side
    575.47x = 230,739.46
  5. Step 5: Solve for x
    x = 230,739.46/575.47
  6. Step 6: Final answer
    x = 400.96

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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.