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Finding the Fourth Proportional to 1,280.20, 1,921.02 and 695.20

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Solution

The fourth proportional to 1,280.20, 1,921.02 and 695.20 is: 1,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.20 : 1,921.02 = 695.20 : x
  2. Step 2: Convert to fraction form
    1,280.20/1,921.02 = 695.20/x
  3. Step 3: Cross multiply
    1,280.20x = 1,921.02 × 695.20
  4. Step 4: Simplify right side
    1,280.20x = 1,335,493.10
  5. Step 5: Solve for x
    x = 1,335,493.10/1,280.20
  6. Step 6: Final answer
    x = 1,043.19

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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.