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Finding the Fourth Proportional to 1,344.52, 1,855.20 and 878.50

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Solution

The fourth proportional to 1,344.52, 1,855.20 and 878.50 is: 1,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.52 : 1,855.20 = 878.50 : x
  2. Step 2: Convert to fraction form
    1,344.52/1,855.20 = 878.50/x
  3. Step 3: Cross multiply
    1,344.52x = 1,855.20 × 878.50
  4. Step 4: Simplify right side
    1,344.52x = 1,629,793.20
  5. Step 5: Solve for x
    x = 1,629,793.20/1,344.52
  6. Step 6: Final answer
    x = 1,212.17

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