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Finding the Fourth Proportional to 654.12, 980.24 and 409.95

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Solution

The fourth proportional to 654.12, 980.24 and 409.95 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 980.24 = 409.95 : x
  2. Step 2: Convert to fraction form
    654.12/980.24 = 409.95/x
  3. Step 3: Cross multiply
    654.12x = 980.24 × 409.95
  4. Step 4: Simplify right side
    654.12x = 401,847.34
  5. Step 5: Solve for x
    x = 401,847.34/654.12
  6. Step 6: Final answer
    x = 614.33

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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.