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Finding the Fourth Proportional to 1,831.23, 2,747.31 and 532.70

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Solution

The fourth proportional to 1,831.23, 2,747.31 and 532.70 is: 799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.23 : 2,747.31 = 532.70 : x
  2. Step 2: Convert to fraction form
    1,831.23/2,747.31 = 532.70/x
  3. Step 3: Cross multiply
    1,831.23x = 2,747.31 × 532.70
  4. Step 4: Simplify right side
    1,831.23x = 1,463,478.30
  5. Step 5: Solve for x
    x = 1,463,478.30/1,831.23
  6. Step 6: Final answer
    x = 799.18

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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.