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Finding the Fourth Proportional to 878.30, 1,211.85 and 528.98

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Solution

The fourth proportional to 878.30, 1,211.85 and 528.98 is: 729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.30 : 1,211.85 = 528.98 : x
  2. Step 2: Convert to fraction form
    878.30/1,211.85 = 528.98/x
  3. Step 3: Cross multiply
    878.30x = 1,211.85 × 528.98
  4. Step 4: Simplify right side
    878.30x = 641,044.41
  5. Step 5: Solve for x
    x = 641,044.41/878.30
  6. Step 6: Final answer
    x = 729.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.