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Finding the Fourth Proportional to 1,313.06, 1,811.84 and 781.79

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Solution

The fourth proportional to 1,313.06, 1,811.84 and 781.79 is: 1,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.06 : 1,811.84 = 781.79 : x
  2. Step 2: Convert to fraction form
    1,313.06/1,811.84 = 781.79/x
  3. Step 3: Cross multiply
    1,313.06x = 1,811.84 × 781.79
  4. Step 4: Simplify right side
    1,313.06x = 1,416,465.43
  5. Step 5: Solve for x
    x = 1,416,465.43/1,313.06
  6. Step 6: Final answer
    x = 1,078.76

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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.