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Finding the Fourth Proportional to 789.15, 1,182.36 and 770.02

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Solution

The fourth proportional to 789.15, 1,182.36 and 770.02 is: 1,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.15 : 1,182.36 = 770.02 : x
  2. Step 2: Convert to fraction form
    789.15/1,182.36 = 770.02/x
  3. Step 3: Cross multiply
    789.15x = 1,182.36 × 770.02
  4. Step 4: Simplify right side
    789.15x = 910,440.85
  5. Step 5: Solve for x
    x = 910,440.85/789.15
  6. Step 6: Final answer
    x = 1,153.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.