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Finding the Fourth Proportional to 568.80, 785.07 and 372.42

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Solution

The fourth proportional to 568.80, 785.07 and 372.42 is: 514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 785.07 = 372.42 : x
  2. Step 2: Convert to fraction form
    568.80/785.07 = 372.42/x
  3. Step 3: Cross multiply
    568.80x = 785.07 × 372.42
  4. Step 4: Simplify right side
    568.80x = 292,375.77
  5. Step 5: Solve for x
    x = 292,375.77/568.80
  6. Step 6: Final answer
    x = 514.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.