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Finding the Fourth Proportional to 1,195.45, 1,650.28 and 797.78

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Solution

The fourth proportional to 1,195.45, 1,650.28 and 797.78 is: 1,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.45 : 1,650.28 = 797.78 : x
  2. Step 2: Convert to fraction form
    1,195.45/1,650.28 = 797.78/x
  3. Step 3: Cross multiply
    1,195.45x = 1,650.28 × 797.78
  4. Step 4: Simplify right side
    1,195.45x = 1,316,560.38
  5. Step 5: Solve for x
    x = 1,316,560.38/1,195.45
  6. Step 6: Final answer
    x = 1,101.31

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Double scale
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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.