Home / 1,174.19-1,761.38-308.50

Finding the Fourth Proportional to 1,174.19, 1,761.38 and 308.50

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Solution

The fourth proportional to 1,174.19, 1,761.38 and 308.50 is: 462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.19 : 1,761.38 = 308.50 : x
  2. Step 2: Convert to fraction form
    1,174.19/1,761.38 = 308.50/x
  3. Step 3: Cross multiply
    1,174.19x = 1,761.38 × 308.50
  4. Step 4: Simplify right side
    1,174.19x = 543,385.73
  5. Step 5: Solve for x
    x = 543,385.73/1,174.19
  6. Step 6: Final answer
    x = 462.77

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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.