Home / 1,067.08-1,598.19-742.70

Finding the Fourth Proportional to 1,067.08, 1,598.19 and 742.70

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Solution

The fourth proportional to 1,067.08, 1,598.19 and 742.70 is: 1,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.08 : 1,598.19 = 742.70 : x
  2. Step 2: Convert to fraction form
    1,067.08/1,598.19 = 742.70/x
  3. Step 3: Cross multiply
    1,067.08x = 1,598.19 × 742.70
  4. Step 4: Simplify right side
    1,067.08x = 1,186,975.71
  5. Step 5: Solve for x
    x = 1,186,975.71/1,067.08
  6. Step 6: Final answer
    x = 1,112.36

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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.