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Finding the Fourth Proportional to 1,115.84, 1,671.52 and 676.84

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Solution

The fourth proportional to 1,115.84, 1,671.52 and 676.84 is: 1,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.84 : 1,671.52 = 676.84 : x
  2. Step 2: Convert to fraction form
    1,115.84/1,671.52 = 676.84/x
  3. Step 3: Cross multiply
    1,115.84x = 1,671.52 × 676.84
  4. Step 4: Simplify right side
    1,115.84x = 1,131,351.60
  5. Step 5: Solve for x
    x = 1,131,351.60/1,115.84
  6. Step 6: Final answer
    x = 1,013.90

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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.