Home / 1,103.28-1,655.31-734.57

Finding the Fourth Proportional to 1,103.28, 1,655.31 and 734.57

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Solution

The fourth proportional to 1,103.28, 1,655.31 and 734.57 is: 1,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.28 : 1,655.31 = 734.57 : x
  2. Step 2: Convert to fraction form
    1,103.28/1,655.31 = 734.57/x
  3. Step 3: Cross multiply
    1,103.28x = 1,655.31 × 734.57
  4. Step 4: Simplify right side
    1,103.28x = 1,215,932.79
  5. Step 5: Solve for x
    x = 1,215,932.79/1,103.28
  6. Step 6: Final answer
    x = 1,102.11

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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.