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Finding the Fourth Proportional to 844.32, 1,165.42 and 495.08

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Solution

The fourth proportional to 844.32, 1,165.42 and 495.08 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.32 : 1,165.42 = 495.08 : x
  2. Step 2: Convert to fraction form
    844.32/1,165.42 = 495.08/x
  3. Step 3: Cross multiply
    844.32x = 1,165.42 × 495.08
  4. Step 4: Simplify right side
    844.32x = 576,976.13
  5. Step 5: Solve for x
    x = 576,976.13/844.32
  6. Step 6: Final answer
    x = 683.36

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Half scale
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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.