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Finding the Fourth Proportional to 983.85, 1,476.37 and 367.99

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Solution

The fourth proportional to 983.85, 1,476.37 and 367.99 is: 552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.85 : 1,476.37 = 367.99 : x
  2. Step 2: Convert to fraction form
    983.85/1,476.37 = 367.99/x
  3. Step 3: Cross multiply
    983.85x = 1,476.37 × 367.99
  4. Step 4: Simplify right side
    983.85x = 543,287.56
  5. Step 5: Solve for x
    x = 543,287.56/983.85
  6. Step 6: Final answer
    x = 552.21

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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.