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Finding the Fourth Proportional to 789.49, 1,184.43 and 241.69

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Solution

The fourth proportional to 789.49, 1,184.43 and 241.69 is: 362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.49 : 1,184.43 = 241.69 : x
  2. Step 2: Convert to fraction form
    789.49/1,184.43 = 241.69/x
  3. Step 3: Cross multiply
    789.49x = 1,184.43 × 241.69
  4. Step 4: Simplify right side
    789.49x = 286,264.89
  5. Step 5: Solve for x
    x = 286,264.89/789.49
  6. Step 6: Final answer
    x = 362.59

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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.