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Finding the Fourth Proportional to 654.80, 982.18 and 308.02

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Solution

The fourth proportional to 654.80, 982.18 and 308.02 is: 462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 982.18 = 308.02 : x
  2. Step 2: Convert to fraction form
    654.80/982.18 = 308.02/x
  3. Step 3: Cross multiply
    654.80x = 982.18 × 308.02
  4. Step 4: Simplify right side
    654.80x = 302,531.08
  5. Step 5: Solve for x
    x = 302,531.08/654.80
  6. Step 6: Final answer
    x = 462.02

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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.