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Finding the Fourth Proportional to 942.72, 1,414.56 and 387.83

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Solution

The fourth proportional to 942.72, 1,414.56 and 387.83 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.72 : 1,414.56 = 387.83 : x
  2. Step 2: Convert to fraction form
    942.72/1,414.56 = 387.83/x
  3. Step 3: Cross multiply
    942.72x = 1,414.56 × 387.83
  4. Step 4: Simplify right side
    942.72x = 548,601.73
  5. Step 5: Solve for x
    x = 548,601.73/942.72
  6. Step 6: Final answer
    x = 581.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.