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Finding the Fourth Proportional to 919.40, 1,379.10 and 834.35

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Solution

The fourth proportional to 919.40, 1,379.10 and 834.35 is: 1,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.40 : 1,379.10 = 834.35 : x
  2. Step 2: Convert to fraction form
    919.40/1,379.10 = 834.35/x
  3. Step 3: Cross multiply
    919.40x = 1,379.10 × 834.35
  4. Step 4: Simplify right side
    919.40x = 1,150,652.09
  5. Step 5: Solve for x
    x = 1,150,652.09/919.40
  6. Step 6: Final answer
    x = 1,251.53

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.