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Finding the Fourth Proportional to 442.74, 660.21 and 411.96

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Solution

The fourth proportional to 442.74, 660.21 and 411.96 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.74 : 660.21 = 411.96 : x
  2. Step 2: Convert to fraction form
    442.74/660.21 = 411.96/x
  3. Step 3: Cross multiply
    442.74x = 660.21 × 411.96
  4. Step 4: Simplify right side
    442.74x = 271,980.11
  5. Step 5: Solve for x
    x = 271,980.11/442.74
  6. Step 6: Final answer
    x = 614.31

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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.