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Finding the Fourth Proportional to 789.66, 1,184.49 and 377.55

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Solution

The fourth proportional to 789.66, 1,184.49 and 377.55 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.66 : 1,184.49 = 377.55 : x
  2. Step 2: Convert to fraction form
    789.66/1,184.49 = 377.55/x
  3. Step 3: Cross multiply
    789.66x = 1,184.49 × 377.55
  4. Step 4: Simplify right side
    789.66x = 447,204.20
  5. Step 5: Solve for x
    x = 447,204.20/789.66
  6. Step 6: Final answer
    x = 566.33

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Double scale
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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.