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Finding the Fourth Proportional to 799.08, 1,191.45 and 784.50

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Solution

The fourth proportional to 799.08, 1,191.45 and 784.50 is: 1,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.08 : 1,191.45 = 784.50 : x
  2. Step 2: Convert to fraction form
    799.08/1,191.45 = 784.50/x
  3. Step 3: Cross multiply
    799.08x = 1,191.45 × 784.50
  4. Step 4: Simplify right side
    799.08x = 934,692.53
  5. Step 5: Solve for x
    x = 934,692.53/799.08
  6. Step 6: Final answer
    x = 1,169.71

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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.