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Finding the Fourth Proportional to 1,295.80, 1,787.66 and 798.28

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Solution

The fourth proportional to 1,295.80, 1,787.66 and 798.28 is: 1,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.80 : 1,787.66 = 798.28 : x
  2. Step 2: Convert to fraction form
    1,295.80/1,787.66 = 798.28/x
  3. Step 3: Cross multiply
    1,295.80x = 1,787.66 × 798.28
  4. Step 4: Simplify right side
    1,295.80x = 1,427,053.22
  5. Step 5: Solve for x
    x = 1,427,053.22/1,295.80
  6. Step 6: Final answer
    x = 1,101.29

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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.