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Finding the Fourth Proportional to 789.85, 1,184.81 and 204.87

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Solution

The fourth proportional to 789.85, 1,184.81 and 204.87 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.85 : 1,184.81 = 204.87 : x
  2. Step 2: Convert to fraction form
    789.85/1,184.81 = 204.87/x
  3. Step 3: Cross multiply
    789.85x = 1,184.81 × 204.87
  4. Step 4: Simplify right side
    789.85x = 242,736.21
  5. Step 5: Solve for x
    x = 242,736.21/789.85
  6. Step 6: Final answer
    x = 307.32

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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.