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Finding the Fourth Proportional to 1,463.89, 2,196.30 and 878.80

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Solution

The fourth proportional to 1,463.89, 2,196.30 and 878.80 is: 1,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.89 : 2,196.30 = 878.80 : x
  2. Step 2: Convert to fraction form
    1,463.89/2,196.30 = 878.80/x
  3. Step 3: Cross multiply
    1,463.89x = 2,196.30 × 878.80
  4. Step 4: Simplify right side
    1,463.89x = 1,930,108.44
  5. Step 5: Solve for x
    x = 1,930,108.44/1,463.89
  6. Step 6: Final answer
    x = 1,318.48

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1.5x scale

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.