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Finding the Fourth Proportional to 1,282.72, 1,921.28 and 794.24

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Solution

The fourth proportional to 1,282.72, 1,921.28 and 794.24 is: 1,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.72 : 1,921.28 = 794.24 : x
  2. Step 2: Convert to fraction form
    1,282.72/1,921.28 = 794.24/x
  3. Step 3: Cross multiply
    1,282.72x = 1,921.28 × 794.24
  4. Step 4: Simplify right side
    1,282.72x = 1,525,957.43
  5. Step 5: Solve for x
    x = 1,525,957.43/1,282.72
  6. Step 6: Final answer
    x = 1,189.63

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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.