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Finding the Fourth Proportional to 1,446.15, 2,168.42 and 984.55

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Solution

The fourth proportional to 1,446.15, 2,168.42 and 984.55 is: 1,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.15 : 2,168.42 = 984.55 : x
  2. Step 2: Convert to fraction form
    1,446.15/2,168.42 = 984.55/x
  3. Step 3: Cross multiply
    1,446.15x = 2,168.42 × 984.55
  4. Step 4: Simplify right side
    1,446.15x = 2,134,917.91
  5. Step 5: Solve for x
    x = 2,134,917.91/1,446.15
  6. Step 6: Final answer
    x = 1,476.28

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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.