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Finding the Fourth Proportional to 1,129.12, 1,559.68 and 908.90

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Solution

The fourth proportional to 1,129.12, 1,559.68 and 908.90 is: 1,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.12 : 1,559.68 = 908.90 : x
  2. Step 2: Convert to fraction form
    1,129.12/1,559.68 = 908.90/x
  3. Step 3: Cross multiply
    1,129.12x = 1,559.68 × 908.90
  4. Step 4: Simplify right side
    1,129.12x = 1,417,593.15
  5. Step 5: Solve for x
    x = 1,417,593.15/1,129.12
  6. Step 6: Final answer
    x = 1,255.48

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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.