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Finding the Fourth Proportional to 572.17, 858.51 and 311.78

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Solution

The fourth proportional to 572.17, 858.51 and 311.78 is: 467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.17 : 858.51 = 311.78 : x
  2. Step 2: Convert to fraction form
    572.17/858.51 = 311.78/x
  3. Step 3: Cross multiply
    572.17x = 858.51 × 311.78
  4. Step 4: Simplify right side
    572.17x = 267,661.96
  5. Step 5: Solve for x
    x = 267,661.96/572.17
  6. Step 6: Final answer
    x = 467.81

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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.