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Finding the Fourth Proportional to 444.84, 614.20 and 287.56

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Solution

The fourth proportional to 444.84, 614.20 and 287.56 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.84 : 614.20 = 287.56 : x
  2. Step 2: Convert to fraction form
    444.84/614.20 = 287.56/x
  3. Step 3: Cross multiply
    444.84x = 614.20 × 287.56
  4. Step 4: Simplify right side
    444.84x = 176,619.35
  5. Step 5: Solve for x
    x = 176,619.35/444.84
  6. Step 6: Final answer
    x = 397.04

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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.