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Finding the Fourth Proportional to 1,327.08, 1,831.46 and 767.69

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Solution

The fourth proportional to 1,327.08, 1,831.46 and 767.69 is: 1,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.08 : 1,831.46 = 767.69 : x
  2. Step 2: Convert to fraction form
    1,327.08/1,831.46 = 767.69/x
  3. Step 3: Cross multiply
    1,327.08x = 1,831.46 × 767.69
  4. Step 4: Simplify right side
    1,327.08x = 1,405,994.29
  5. Step 5: Solve for x
    x = 1,405,994.29/1,327.08
  6. Step 6: Final answer
    x = 1,059.46

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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.