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Finding the Fourth Proportional to 789.90, 1,191.98 and 766.81

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Solution

The fourth proportional to 789.90, 1,191.98 and 766.81 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.90 : 1,191.98 = 766.81 : x
  2. Step 2: Convert to fraction form
    789.90/1,191.98 = 766.81/x
  3. Step 3: Cross multiply
    789.90x = 1,191.98 × 766.81
  4. Step 4: Simplify right side
    789.90x = 914,022.18
  5. Step 5: Solve for x
    x = 914,022.18/789.90
  6. Step 6: Final answer
    x = 1,157.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.