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Finding the Fourth Proportional to 1,831.15, 2,746 and 660.97

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Solution

The fourth proportional to 1,831.15, 2,746 and 660.97 is: 991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.15 : 2,746 = 660.97 : x
  2. Step 2: Convert to fraction form
    1,831.15/2,746 = 660.97/x
  3. Step 3: Cross multiply
    1,831.15x = 2,746 × 660.97
  4. Step 4: Simplify right side
    1,831.15x = 1,815,023.62
  5. Step 5: Solve for x
    x = 1,815,023.62/1,831.15
  6. Step 6: Final answer
    x = 991.19

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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.