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Finding the Fourth Proportional to 658.17, 984.75 and 408.05

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Solution

The fourth proportional to 658.17, 984.75 and 408.05 is: 610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.17 : 984.75 = 408.05 : x
  2. Step 2: Convert to fraction form
    658.17/984.75 = 408.05/x
  3. Step 3: Cross multiply
    658.17x = 984.75 × 408.05
  4. Step 4: Simplify right side
    658.17x = 401,827.24
  5. Step 5: Solve for x
    x = 401,827.24/658.17
  6. Step 6: Final answer
    x = 610.52

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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.