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Finding the Fourth Proportional to 657.14, 984.36 and 367.97

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Solution

The fourth proportional to 657.14, 984.36 and 367.97 is: 551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 984.36 = 367.97 : x
  2. Step 2: Convert to fraction form
    657.14/984.36 = 367.97/x
  3. Step 3: Cross multiply
    657.14x = 984.36 × 367.97
  4. Step 4: Simplify right side
    657.14x = 362,210.03
  5. Step 5: Solve for x
    x = 362,210.03/657.14
  6. Step 6: Final answer
    x = 551.20

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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.