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Finding the Fourth Proportional to 984.68, 1,476.89 and 254.30

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Solution

The fourth proportional to 984.68, 1,476.89 and 254.30 is: 381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.68 : 1,476.89 = 254.30 : x
  2. Step 2: Convert to fraction form
    984.68/1,476.89 = 254.30/x
  3. Step 3: Cross multiply
    984.68x = 1,476.89 × 254.30
  4. Step 4: Simplify right side
    984.68x = 375,577.45
  5. Step 5: Solve for x
    x = 375,577.45/984.68
  6. Step 6: Final answer
    x = 381.42

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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.