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Finding the Fourth Proportional to 572.46, 857.72 and 311.88

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Solution

The fourth proportional to 572.46, 857.72 and 311.88 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.46 : 857.72 = 311.88 : x
  2. Step 2: Convert to fraction form
    572.46/857.72 = 311.88/x
  3. Step 3: Cross multiply
    572.46x = 857.72 × 311.88
  4. Step 4: Simplify right side
    572.46x = 267,505.71
  5. Step 5: Solve for x
    x = 267,505.71/572.46
  6. Step 6: Final answer
    x = 467.29

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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.