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Finding the Fourth Proportional to 444.89, 614.32 and 377.84

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Solution

The fourth proportional to 444.89, 614.32 and 377.84 is: 521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.89 : 614.32 = 377.84 : x
  2. Step 2: Convert to fraction form
    444.89/614.32 = 377.84/x
  3. Step 3: Cross multiply
    444.89x = 614.32 × 377.84
  4. Step 4: Simplify right side
    444.89x = 232,115.26
  5. Step 5: Solve for x
    x = 232,115.26/444.89
  6. Step 6: Final answer
    x = 521.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.