Home / 1,089.32-1,634.78-845.24

Finding the Fourth Proportional to 1,089.32, 1,634.78 and 845.24

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Solution

The fourth proportional to 1,089.32, 1,634.78 and 845.24 is: 1,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.32 : 1,634.78 = 845.24 : x
  2. Step 2: Convert to fraction form
    1,089.32/1,634.78 = 845.24/x
  3. Step 3: Cross multiply
    1,089.32x = 1,634.78 × 845.24
  4. Step 4: Simplify right side
    1,089.32x = 1,381,781.45
  5. Step 5: Solve for x
    x = 1,381,781.45/1,089.32
  6. Step 6: Final answer
    x = 1,268.48

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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.