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Finding the Fourth Proportional to 569.61, 853.56 and 326.21

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Solution

The fourth proportional to 569.61, 853.56 and 326.21 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.61 : 853.56 = 326.21 : x
  2. Step 2: Convert to fraction form
    569.61/853.56 = 326.21/x
  3. Step 3: Cross multiply
    569.61x = 853.56 × 326.21
  4. Step 4: Simplify right side
    569.61x = 278,435.54
  5. Step 5: Solve for x
    x = 278,435.54/569.61
  6. Step 6: Final answer
    x = 488.82

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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.