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Finding the Fourth Proportional to 444.70, 665.92 and 403.66

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Solution

The fourth proportional to 444.70, 665.92 and 403.66 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.70 : 665.92 = 403.66 : x
  2. Step 2: Convert to fraction form
    444.70/665.92 = 403.66/x
  3. Step 3: Cross multiply
    444.70x = 665.92 × 403.66
  4. Step 4: Simplify right side
    444.70x = 268,805.27
  5. Step 5: Solve for x
    x = 268,805.27/444.70
  6. Step 6: Final answer
    x = 604.46

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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.