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Finding the Fourth Proportional to 441.61, 661.40 and 426.24

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Solution

The fourth proportional to 441.61, 661.40 and 426.24 is: 638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.61 : 661.40 = 426.24 : x
  2. Step 2: Convert to fraction form
    441.61/661.40 = 426.24/x
  3. Step 3: Cross multiply
    441.61x = 661.40 × 426.24
  4. Step 4: Simplify right side
    441.61x = 281,911.84
  5. Step 5: Solve for x
    x = 281,911.84/441.61
  6. Step 6: Final answer
    x = 638.37

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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.