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Finding the Fourth Proportional to 1,327.66, 1,831.34 and 879.53

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Solution

The fourth proportional to 1,327.66, 1,831.34 and 879.53 is: 1,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.66 : 1,831.34 = 879.53 : x
  2. Step 2: Convert to fraction form
    1,327.66/1,831.34 = 879.53/x
  3. Step 3: Cross multiply
    1,327.66x = 1,831.34 × 879.53
  4. Step 4: Simplify right side
    1,327.66x = 1,610,711.51
  5. Step 5: Solve for x
    x = 1,610,711.51/1,327.66
  6. Step 6: Final answer
    x = 1,213.20

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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.