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Finding the Fourth Proportional to 801.49, 1,194.38 and 775.39

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Solution

The fourth proportional to 801.49, 1,194.38 and 775.39 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.49 : 1,194.38 = 775.39 : x
  2. Step 2: Convert to fraction form
    801.49/1,194.38 = 775.39/x
  3. Step 3: Cross multiply
    801.49x = 1,194.38 × 775.39
  4. Step 4: Simplify right side
    801.49x = 926,110.31
  5. Step 5: Solve for x
    x = 926,110.31/801.49
  6. Step 6: Final answer
    x = 1,155.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.