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Finding the Fourth Proportional to 687.27, 1,030.78 and 254.32

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Solution

The fourth proportional to 687.27, 1,030.78 and 254.32 is: 381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.27 : 1,030.78 = 254.32 : x
  2. Step 2: Convert to fraction form
    687.27/1,030.78 = 254.32/x
  3. Step 3: Cross multiply
    687.27x = 1,030.78 × 254.32
  4. Step 4: Simplify right side
    687.27x = 262,147.97
  5. Step 5: Solve for x
    x = 262,147.97/687.27
  6. Step 6: Final answer
    x = 381.43

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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.