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Finding the Fourth Proportional to 569.40, 853.92 and 326.04

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Solution

The fourth proportional to 569.40, 853.92 and 326.04 is: 488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.40 : 853.92 = 326.04 : x
  2. Step 2: Convert to fraction form
    569.40/853.92 = 326.04/x
  3. Step 3: Cross multiply
    569.40x = 853.92 × 326.04
  4. Step 4: Simplify right side
    569.40x = 278,412.08
  5. Step 5: Solve for x
    x = 278,412.08/569.40
  6. Step 6: Final answer
    x = 488.96

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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.