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Finding the Fourth Proportional to 1,340.31, 1,849.68 and 781.14

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Solution

The fourth proportional to 1,340.31, 1,849.68 and 781.14 is: 1,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.31 : 1,849.68 = 781.14 : x
  2. Step 2: Convert to fraction form
    1,340.31/1,849.68 = 781.14/x
  3. Step 3: Cross multiply
    1,340.31x = 1,849.68 × 781.14
  4. Step 4: Simplify right side
    1,340.31x = 1,444,859.04
  5. Step 5: Solve for x
    x = 1,444,859.04/1,340.31
  6. Step 6: Final answer
    x = 1,078.00

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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.