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Finding the Fourth Proportional to 427.71, 641.88 and 319.17

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Solution

The fourth proportional to 427.71, 641.88 and 319.17 is: 478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.71 : 641.88 = 319.17 : x
  2. Step 2: Convert to fraction form
    427.71/641.88 = 319.17/x
  3. Step 3: Cross multiply
    427.71x = 641.88 × 319.17
  4. Step 4: Simplify right side
    427.71x = 204,868.84
  5. Step 5: Solve for x
    x = 204,868.84/427.71
  6. Step 6: Final answer
    x = 478.99

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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.