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Finding the Fourth Proportional to 844.25, 1,165.19 and 807.35

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Solution

The fourth proportional to 844.25, 1,165.19 and 807.35 is: 1,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.25 : 1,165.19 = 807.35 : x
  2. Step 2: Convert to fraction form
    844.25/1,165.19 = 807.35/x
  3. Step 3: Cross multiply
    844.25x = 1,165.19 × 807.35
  4. Step 4: Simplify right side
    844.25x = 940,716.15
  5. Step 5: Solve for x
    x = 940,716.15/844.25
  6. Step 6: Final answer
    x = 1,114.26

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1.5x scale

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.