Home / 1,377.10-2,063.22-829.54

Finding the Fourth Proportional to 1,377.10, 2,063.22 and 829.54

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Solution

The fourth proportional to 1,377.10, 2,063.22 and 829.54 is: 1,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.10 : 2,063.22 = 829.54 : x
  2. Step 2: Convert to fraction form
    1,377.10/2,063.22 = 829.54/x
  3. Step 3: Cross multiply
    1,377.10x = 2,063.22 × 829.54
  4. Step 4: Simplify right side
    1,377.10x = 1,711,523.52
  5. Step 5: Solve for x
    x = 1,711,523.52/1,377.10
  6. Step 6: Final answer
    x = 1,242.85

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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.