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Finding the Fourth Proportional to 568.08, 853.20 and 486

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Solution

The fourth proportional to 568.08, 853.20 and 486 is: 729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 853.20 = 486 : x
  2. Step 2: Convert to fraction form
    568.08/853.20 = 486/x
  3. Step 3: Cross multiply
    568.08x = 853.20 × 486
  4. Step 4: Simplify right side
    568.08x = 414,655.20
  5. Step 5: Solve for x
    x = 414,655.20/568.08
  6. Step 6: Final answer
    x = 729.92

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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.