Home / 1,115.24-1,672.31-705.17

Finding the Fourth Proportional to 1,115.24, 1,672.31 and 705.17

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Solution

The fourth proportional to 1,115.24, 1,672.31 and 705.17 is: 1,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.24 : 1,672.31 = 705.17 : x
  2. Step 2: Convert to fraction form
    1,115.24/1,672.31 = 705.17/x
  3. Step 3: Cross multiply
    1,115.24x = 1,672.31 × 705.17
  4. Step 4: Simplify right side
    1,115.24x = 1,179,268.79
  5. Step 5: Solve for x
    x = 1,179,268.79/1,115.24
  6. Step 6: Final answer
    x = 1,057.42

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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.