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Finding the Fourth Proportional to 441.54, 658.02 and 409.50

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Solution

The fourth proportional to 441.54, 658.02 and 409.50 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.54 : 658.02 = 409.50 : x
  2. Step 2: Convert to fraction form
    441.54/658.02 = 409.50/x
  3. Step 3: Cross multiply
    441.54x = 658.02 × 409.50
  4. Step 4: Simplify right side
    441.54x = 269,459.19
  5. Step 5: Solve for x
    x = 269,459.19/441.54
  6. Step 6: Final answer
    x = 610.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.