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Finding the Fourth Proportional to 844.50, 1,165.41 and 495.21

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Solution

The fourth proportional to 844.50, 1,165.41 and 495.21 is: 683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.50 : 1,165.41 = 495.21 : x
  2. Step 2: Convert to fraction form
    844.50/1,165.41 = 495.21/x
  3. Step 3: Cross multiply
    844.50x = 1,165.41 × 495.21
  4. Step 4: Simplify right side
    844.50x = 577,122.69
  5. Step 5: Solve for x
    x = 577,122.69/844.50
  6. Step 6: Final answer
    x = 683.39

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Double scale
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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.