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Finding the Fourth Proportional to 844.25, 1,165.20 and 494.94

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Solution

The fourth proportional to 844.25, 1,165.20 and 494.94 is: 683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.25 : 1,165.20 = 494.94 : x
  2. Step 2: Convert to fraction form
    844.25/1,165.20 = 494.94/x
  3. Step 3: Cross multiply
    844.25x = 1,165.20 × 494.94
  4. Step 4: Simplify right side
    844.25x = 576,704.09
  5. Step 5: Solve for x
    x = 576,704.09/844.25
  6. Step 6: Final answer
    x = 683.10

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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.