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Finding the Fourth Proportional to 869.61, 1,197.41 and 799.95

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Solution

The fourth proportional to 869.61, 1,197.41 and 799.95 is: 1,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.61 : 1,197.41 = 799.95 : x
  2. Step 2: Convert to fraction form
    869.61/1,197.41 = 799.95/x
  3. Step 3: Cross multiply
    869.61x = 1,197.41 × 799.95
  4. Step 4: Simplify right side
    869.61x = 957,864.13
  5. Step 5: Solve for x
    x = 957,864.13/869.61
  6. Step 6: Final answer
    x = 1,101.49

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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.