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Finding the Fourth Proportional to 790.38, 1,184.90 and 327.87

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Solution

The fourth proportional to 790.38, 1,184.90 and 327.87 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.38 : 1,184.90 = 327.87 : x
  2. Step 2: Convert to fraction form
    790.38/1,184.90 = 327.87/x
  3. Step 3: Cross multiply
    790.38x = 1,184.90 × 327.87
  4. Step 4: Simplify right side
    790.38x = 388,497.62
  5. Step 5: Solve for x
    x = 388,497.62/790.38
  6. Step 6: Final answer
    x = 491.53

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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.