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Finding the Fourth Proportional to 654.11, 980.74 and 361.77

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Solution

The fourth proportional to 654.11, 980.74 and 361.77 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.11 : 980.74 = 361.77 : x
  2. Step 2: Convert to fraction form
    654.11/980.74 = 361.77/x
  3. Step 3: Cross multiply
    654.11x = 980.74 × 361.77
  4. Step 4: Simplify right side
    654.11x = 354,799.08
  5. Step 5: Solve for x
    x = 354,799.08/654.11
  6. Step 6: Final answer
    x = 542.42

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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.