Home / 1,001.14-1,380.57-664.85

Finding the Fourth Proportional to 1,001.14, 1,380.57 and 664.85

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Solution

The fourth proportional to 1,001.14, 1,380.57 and 664.85 is: 916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.14 : 1,380.57 = 664.85 : x
  2. Step 2: Convert to fraction form
    1,001.14/1,380.57 = 664.85/x
  3. Step 3: Cross multiply
    1,001.14x = 1,380.57 × 664.85
  4. Step 4: Simplify right side
    1,001.14x = 917,871.96
  5. Step 5: Solve for x
    x = 917,871.96/1,001.14
  6. Step 6: Final answer
    x = 916.83

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Why These Related Problems?

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