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Finding the Fourth Proportional to 790.57, 1,185.39 and 327.83

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Solution

The fourth proportional to 790.57, 1,185.39 and 327.83 is: 491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.57 : 1,185.39 = 327.83 : x
  2. Step 2: Convert to fraction form
    790.57/1,185.39 = 327.83/x
  3. Step 3: Cross multiply
    790.57x = 1,185.39 × 327.83
  4. Step 4: Simplify right side
    790.57x = 388,606.40
  5. Step 5: Solve for x
    x = 388,606.40/790.57
  6. Step 6: Final answer
    x = 491.55

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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.