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Finding the Fourth Proportional to 569.49, 853.62 and 261.15

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Solution

The fourth proportional to 569.49, 853.62 and 261.15 is: 391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 853.62 = 261.15 : x
  2. Step 2: Convert to fraction form
    569.49/853.62 = 261.15/x
  3. Step 3: Cross multiply
    569.49x = 853.62 × 261.15
  4. Step 4: Simplify right side
    569.49x = 222,922.86
  5. Step 5: Solve for x
    x = 222,922.86/569.49
  6. Step 6: Final answer
    x = 391.44

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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.