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Finding the Fourth Proportional to 789.63, 1,184.62 and 241.81

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Solution

The fourth proportional to 789.63, 1,184.62 and 241.81 is: 362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,184.62 = 241.81 : x
  2. Step 2: Convert to fraction form
    789.63/1,184.62 = 241.81/x
  3. Step 3: Cross multiply
    789.63x = 1,184.62 × 241.81
  4. Step 4: Simplify right side
    789.63x = 286,447.04
  5. Step 5: Solve for x
    x = 286,447.04/789.63
  6. Step 6: Final answer
    x = 362.76

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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.