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Finding the Fourth Proportional to 572.16, 857.34 and 311.94

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Solution

The fourth proportional to 572.16, 857.34 and 311.94 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 857.34 = 311.94 : x
  2. Step 2: Convert to fraction form
    572.16/857.34 = 311.94/x
  3. Step 3: Cross multiply
    572.16x = 857.34 × 311.94
  4. Step 4: Simplify right side
    572.16x = 267,438.64
  5. Step 5: Solve for x
    x = 267,438.64/572.16
  6. Step 6: Final answer
    x = 467.42

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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.