Home / 1,162.47-1,743.17-675.66

Finding the Fourth Proportional to 1,162.47, 1,743.17 and 675.66

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Solution

The fourth proportional to 1,162.47, 1,743.17 and 675.66 is: 1,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.47 : 1,743.17 = 675.66 : x
  2. Step 2: Convert to fraction form
    1,162.47/1,743.17 = 675.66/x
  3. Step 3: Cross multiply
    1,162.47x = 1,743.17 × 675.66
  4. Step 4: Simplify right side
    1,162.47x = 1,177,786.86
  5. Step 5: Solve for x
    x = 1,177,786.86/1,162.47
  6. Step 6: Final answer
    x = 1,013.18

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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.