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Finding the Fourth Proportional to 844.75, 1,165.79 and 490.67

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Solution

The fourth proportional to 844.75, 1,165.79 and 490.67 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.75 : 1,165.79 = 490.67 : x
  2. Step 2: Convert to fraction form
    844.75/1,165.79 = 490.67/x
  3. Step 3: Cross multiply
    844.75x = 1,165.79 × 490.67
  4. Step 4: Simplify right side
    844.75x = 572,020.13
  5. Step 5: Solve for x
    x = 572,020.13/844.75
  6. Step 6: Final answer
    x = 677.14

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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.