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Finding the Fourth Proportional to 569.85, 853.25 and 363.30

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Solution

The fourth proportional to 569.85, 853.25 and 363.30 is: 543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.85 : 853.25 = 363.30 : x
  2. Step 2: Convert to fraction form
    569.85/853.25 = 363.30/x
  3. Step 3: Cross multiply
    569.85x = 853.25 × 363.30
  4. Step 4: Simplify right side
    569.85x = 309,983.91
  5. Step 5: Solve for x
    x = 309,983.91/569.85
  6. Step 6: Final answer
    x = 543.97

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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.