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Finding the Fourth Proportional to 661.65, 990.86 and 444.57

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Solution

The fourth proportional to 661.65, 990.86 and 444.57 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.65 : 990.86 = 444.57 : x
  2. Step 2: Convert to fraction form
    661.65/990.86 = 444.57/x
  3. Step 3: Cross multiply
    661.65x = 990.86 × 444.57
  4. Step 4: Simplify right side
    661.65x = 440,504.41
  5. Step 5: Solve for x
    x = 440,504.41/661.65
  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.