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Finding the Fourth Proportional to 1,227.60, 1,689.12 and 1,195.20

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Solution

The fourth proportional to 1,227.60, 1,689.12 and 1,195.20 is: 1,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.60 : 1,689.12 = 1,195.20 : x
  2. Step 2: Convert to fraction form
    1,227.60/1,689.12 = 1,195.20/x
  3. Step 3: Cross multiply
    1,227.60x = 1,689.12 × 1,195.20
  4. Step 4: Simplify right side
    1,227.60x = 2,018,836.22
  5. Step 5: Solve for x
    x = 2,018,836.22/1,227.60
  6. Step 6: Final answer
    x = 1,644.54

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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.