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Finding the Fourth Proportional to 635.34, 871.17 and 572.92

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Solution

The fourth proportional to 635.34, 871.17 and 572.92 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 871.17 = 572.92 : x
  2. Step 2: Convert to fraction form
    635.34/871.17 = 572.92/x
  3. Step 3: Cross multiply
    635.34x = 871.17 × 572.92
  4. Step 4: Simplify right side
    635.34x = 499,110.72
  5. Step 5: Solve for x
    x = 499,110.72/635.34
  6. Step 6: Final answer
    x = 785.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.