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Finding the Fourth Proportional to 878.27, 1,314.36 and 704.52

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Solution

The fourth proportional to 878.27, 1,314.36 and 704.52 is: 1,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.27 : 1,314.36 = 704.52 : x
  2. Step 2: Convert to fraction form
    878.27/1,314.36 = 704.52/x
  3. Step 3: Cross multiply
    878.27x = 1,314.36 × 704.52
  4. Step 4: Simplify right side
    878.27x = 925,992.91
  5. Step 5: Solve for x
    x = 925,992.91/878.27
  6. Step 6: Final answer
    x = 1,054.34

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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.