Home / 1,108.23-1,527.69-734.55

Finding the Fourth Proportional to 1,108.23, 1,527.69 and 734.55

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Solution

The fourth proportional to 1,108.23, 1,527.69 and 734.55 is: 1,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.23 : 1,527.69 = 734.55 : x
  2. Step 2: Convert to fraction form
    1,108.23/1,527.69 = 734.55/x
  3. Step 3: Cross multiply
    1,108.23x = 1,527.69 × 734.55
  4. Step 4: Simplify right side
    1,108.23x = 1,122,170.31
  5. Step 5: Solve for x
    x = 1,122,170.31/1,108.23
  6. Step 6: Final answer
    x = 1,012.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.