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Finding the Fourth Proportional to 880.86, 1,314.20 and 839.58

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Solution

The fourth proportional to 880.86, 1,314.20 and 839.58 is: 1,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.86 : 1,314.20 = 839.58 : x
  2. Step 2: Convert to fraction form
    880.86/1,314.20 = 839.58/x
  3. Step 3: Cross multiply
    880.86x = 1,314.20 × 839.58
  4. Step 4: Simplify right side
    880.86x = 1,103,371.84
  5. Step 5: Solve for x
    x = 1,103,371.84/880.86
  6. Step 6: Final answer
    x = 1,252.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.