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Finding the Fourth Proportional to 1,831.04, 2,744.24 and 734.79

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Solution

The fourth proportional to 1,831.04, 2,744.24 and 734.79 is: 1,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.04 : 2,744.24 = 734.79 : x
  2. Step 2: Convert to fraction form
    1,831.04/2,744.24 = 734.79/x
  3. Step 3: Cross multiply
    1,831.04x = 2,744.24 × 734.79
  4. Step 4: Simplify right side
    1,831.04x = 2,016,440.11
  5. Step 5: Solve for x
    x = 2,016,440.11/1,831.04
  6. Step 6: Final answer
    x = 1,101.26

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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.