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Finding the Fourth Proportional to 844.68, 1,259.52 and 843.12

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Solution

The fourth proportional to 844.68, 1,259.52 and 843.12 is: 1,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.68 : 1,259.52 = 843.12 : x
  2. Step 2: Convert to fraction form
    844.68/1,259.52 = 843.12/x
  3. Step 3: Cross multiply
    844.68x = 1,259.52 × 843.12
  4. Step 4: Simplify right side
    844.68x = 1,061,926.50
  5. Step 5: Solve for x
    x = 1,061,926.50/844.68
  6. Step 6: Final answer
    x = 1,257.19

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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.