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Finding the Fourth Proportional to 1,278.97, 1,921.65 and 816.96

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Solution

The fourth proportional to 1,278.97, 1,921.65 and 816.96 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.97 : 1,921.65 = 816.96 : x
  2. Step 2: Convert to fraction form
    1,278.97/1,921.65 = 816.96/x
  3. Step 3: Cross multiply
    1,278.97x = 1,921.65 × 816.96
  4. Step 4: Simplify right side
    1,278.97x = 1,569,911.18
  5. Step 5: Solve for x
    x = 1,569,911.18/1,278.97
  6. Step 6: Final answer
    x = 1,227.48

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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.