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Finding the Fourth Proportional to 878.58, 1,314.36 and 758.34

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Solution

The fourth proportional to 878.58, 1,314.36 and 758.34 is: 1,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.58 : 1,314.36 = 758.34 : x
  2. Step 2: Convert to fraction form
    878.58/1,314.36 = 758.34/x
  3. Step 3: Cross multiply
    878.58x = 1,314.36 × 758.34
  4. Step 4: Simplify right side
    878.58x = 996,731.76
  5. Step 5: Solve for x
    x = 996,731.76/878.58
  6. Step 6: Final answer
    x = 1,134.48

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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.