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Finding the Fourth Proportional to 569.74, 854.17 and 261.37

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Solution

The fourth proportional to 569.74, 854.17 and 261.37 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.74 : 854.17 = 261.37 : x
  2. Step 2: Convert to fraction form
    569.74/854.17 = 261.37/x
  3. Step 3: Cross multiply
    569.74x = 854.17 × 261.37
  4. Step 4: Simplify right side
    569.74x = 223,251.62
  5. Step 5: Solve for x
    x = 223,251.62/569.74
  6. Step 6: Final answer
    x = 391.85

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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.