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Finding the Fourth Proportional to 799.33, 1,191.82 and 784.75

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Solution

The fourth proportional to 799.33, 1,191.82 and 784.75 is: 1,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.33 : 1,191.82 = 784.75 : x
  2. Step 2: Convert to fraction form
    799.33/1,191.82 = 784.75/x
  3. Step 3: Cross multiply
    799.33x = 1,191.82 × 784.75
  4. Step 4: Simplify right side
    799.33x = 935,280.75
  5. Step 5: Solve for x
    x = 935,280.75/799.33
  6. Step 6: Final answer
    x = 1,170.08

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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.