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Finding the Fourth Proportional to 843.40, 1,259.42 and 838.27

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Solution

The fourth proportional to 843.40, 1,259.42 and 838.27 is: 1,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.40 : 1,259.42 = 838.27 : x
  2. Step 2: Convert to fraction form
    843.40/1,259.42 = 838.27/x
  3. Step 3: Cross multiply
    843.40x = 1,259.42 × 838.27
  4. Step 4: Simplify right side
    843.40x = 1,055,742.00
  5. Step 5: Solve for x
    x = 1,055,742.00/843.40
  6. Step 6: Final answer
    x = 1,251.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.