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Finding the Fourth Proportional to 1,340.65, 1,850.04 and 781.09

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Solution

The fourth proportional to 1,340.65, 1,850.04 and 781.09 is: 1,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.65 : 1,850.04 = 781.09 : x
  2. Step 2: Convert to fraction form
    1,340.65/1,850.04 = 781.09/x
  3. Step 3: Cross multiply
    1,340.65x = 1,850.04 × 781.09
  4. Step 4: Simplify right side
    1,340.65x = 1,445,053.52
  5. Step 5: Solve for x
    x = 1,445,053.52/1,340.65
  6. Step 6: Final answer
    x = 1,077.87

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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.