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Finding the Fourth Proportional to 569.05, 853.27 and 280.49

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Solution

The fourth proportional to 569.05, 853.27 and 280.49 is: 420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 853.27 = 280.49 : x
  2. Step 2: Convert to fraction form
    569.05/853.27 = 280.49/x
  3. Step 3: Cross multiply
    569.05x = 853.27 × 280.49
  4. Step 4: Simplify right side
    569.05x = 239,328.73
  5. Step 5: Solve for x
    x = 239,328.73/569.05
  6. Step 6: Final answer
    x = 420.58

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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.