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Finding the Fourth Proportional to 568.92, 853.08 and 280

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Solution

The fourth proportional to 568.92, 853.08 and 280 is: 419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.92 : 853.08 = 280 : x
  2. Step 2: Convert to fraction form
    568.92/853.08 = 280/x
  3. Step 3: Cross multiply
    568.92x = 853.08 × 280
  4. Step 4: Simplify right side
    568.92x = 238,862.40
  5. Step 5: Solve for x
    x = 238,862.40/568.92
  6. Step 6: Final answer
    x = 419.85

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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.