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Finding the Fourth Proportional to 1,327.39, 1,831.21 and 829.85

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Solution

The fourth proportional to 1,327.39, 1,831.21 and 829.85 is: 1,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.39 : 1,831.21 = 829.85 : x
  2. Step 2: Convert to fraction form
    1,327.39/1,831.21 = 829.85/x
  3. Step 3: Cross multiply
    1,327.39x = 1,831.21 × 829.85
  4. Step 4: Simplify right side
    1,327.39x = 1,519,618.39
  5. Step 5: Solve for x
    x = 1,519,618.39/1,327.39
  6. Step 6: Final answer
    x = 1,144.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.