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Finding the Fourth Proportional to 1,626.74, 2,245.20 and 963.95

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Solution

The fourth proportional to 1,626.74, 2,245.20 and 963.95 is: 1,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.74 : 2,245.20 = 963.95 : x
  2. Step 2: Convert to fraction form
    1,626.74/2,245.20 = 963.95/x
  3. Step 3: Cross multiply
    1,626.74x = 2,245.20 × 963.95
  4. Step 4: Simplify right side
    1,626.74x = 2,164,260.54
  5. Step 5: Solve for x
    x = 2,164,260.54/1,626.74
  6. Step 6: Final answer
    x = 1,330.43

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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.