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Finding the Fourth Proportional to 662.42, 991.19 and 444.94

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Solution

The fourth proportional to 662.42, 991.19 and 444.94 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.42 : 991.19 = 444.94 : x
  2. Step 2: Convert to fraction form
    662.42/991.19 = 444.94/x
  3. Step 3: Cross multiply
    662.42x = 991.19 × 444.94
  4. Step 4: Simplify right side
    662.42x = 441,018.71
  5. Step 5: Solve for x
    x = 441,018.71/662.42
  6. Step 6: Final answer
    x = 665.77

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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.