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Finding the Fourth Proportional to 1,340.70, 1,849.94 and 844.00

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Solution

The fourth proportional to 1,340.70, 1,849.94 and 844.00 is: 1,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.70 : 1,849.94 = 844.00 : x
  2. Step 2: Convert to fraction form
    1,340.70/1,849.94 = 844.00/x
  3. Step 3: Cross multiply
    1,340.70x = 1,849.94 × 844.00
  4. Step 4: Simplify right side
    1,340.70x = 1,561,354.09
  5. Step 5: Solve for x
    x = 1,561,354.09/1,340.70
  6. Step 6: Final answer
    x = 1,164.58

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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.