Home / 1,151.23-1,727.20-689.53

Finding the Fourth Proportional to 1,151.23, 1,727.20 and 689.53

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Solution

The fourth proportional to 1,151.23, 1,727.20 and 689.53 is: 1,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.23 : 1,727.20 = 689.53 : x
  2. Step 2: Convert to fraction form
    1,151.23/1,727.20 = 689.53/x
  3. Step 3: Cross multiply
    1,151.23x = 1,727.20 × 689.53
  4. Step 4: Simplify right side
    1,151.23x = 1,190,956.22
  5. Step 5: Solve for x
    x = 1,190,956.22/1,151.23
  6. Step 6: Final answer
    x = 1,034.51

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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.