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Finding the Fourth Proportional to 569.73, 854.19 and 261.42

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Solution

The fourth proportional to 569.73, 854.19 and 261.42 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.73 : 854.19 = 261.42 : x
  2. Step 2: Convert to fraction form
    569.73/854.19 = 261.42/x
  3. Step 3: Cross multiply
    569.73x = 854.19 × 261.42
  4. Step 4: Simplify right side
    569.73x = 223,302.35
  5. Step 5: Solve for x
    x = 223,302.35/569.73
  6. Step 6: Final answer
    x = 391.94

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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.