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Finding the Fourth Proportional to 789.77, 1,184.67 and 241.94

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Solution

The fourth proportional to 789.77, 1,184.67 and 241.94 is: 362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.77 : 1,184.67 = 241.94 : x
  2. Step 2: Convert to fraction form
    789.77/1,184.67 = 241.94/x
  3. Step 3: Cross multiply
    789.77x = 1,184.67 × 241.94
  4. Step 4: Simplify right side
    789.77x = 286,613.14
  5. Step 5: Solve for x
    x = 286,613.14/789.77
  6. Step 6: Final answer
    x = 362.91

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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.