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Finding the Fourth Proportional to 569.38, 785.97 and 372.97

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Solution

The fourth proportional to 569.38, 785.97 and 372.97 is: 514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 785.97 = 372.97 : x
  2. Step 2: Convert to fraction form
    569.38/785.97 = 372.97/x
  3. Step 3: Cross multiply
    569.38x = 785.97 × 372.97
  4. Step 4: Simplify right side
    569.38x = 293,143.23
  5. Step 5: Solve for x
    x = 293,143.23/569.38
  6. Step 6: Final answer
    x = 514.85

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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.