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Finding the Fourth Proportional to 444.89, 666.29 and 314.43

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Solution

The fourth proportional to 444.89, 666.29 and 314.43 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.89 : 666.29 = 314.43 : x
  2. Step 2: Convert to fraction form
    444.89/666.29 = 314.43/x
  3. Step 3: Cross multiply
    444.89x = 666.29 × 314.43
  4. Step 4: Simplify right side
    444.89x = 209,499.99
  5. Step 5: Solve for x
    x = 209,499.99/444.89
  6. Step 6: Final answer
    x = 470.91

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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.