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Finding the Fourth Proportional to 1,283.78, 1,769.78 and 863.39

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Solution

The fourth proportional to 1,283.78, 1,769.78 and 863.39 is: 1,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.78 : 1,769.78 = 863.39 : x
  2. Step 2: Convert to fraction form
    1,283.78/1,769.78 = 863.39/x
  3. Step 3: Cross multiply
    1,283.78x = 1,769.78 × 863.39
  4. Step 4: Simplify right side
    1,283.78x = 1,528,006.04
  5. Step 5: Solve for x
    x = 1,528,006.04/1,283.78
  6. Step 6: Final answer
    x = 1,190.24

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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.