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Finding the Fourth Proportional to 1,644.92, 2,272.46 and 1,079.10

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Solution

The fourth proportional to 1,644.92, 2,272.46 and 1,079.10 is: 1,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.92 : 2,272.46 = 1,079.10 : x
  2. Step 2: Convert to fraction form
    1,644.92/2,272.46 = 1,079.10/x
  3. Step 3: Cross multiply
    1,644.92x = 2,272.46 × 1,079.10
  4. Step 4: Simplify right side
    1,644.92x = 2,452,211.59
  5. Step 5: Solve for x
    x = 2,452,211.59/1,644.92
  6. Step 6: Final answer
    x = 1,490.78

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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.