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Finding the Fourth Proportional to 492.63, 738.45 and 319.41

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Solution

The fourth proportional to 492.63, 738.45 and 319.41 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 738.45 = 319.41 : x
  2. Step 2: Convert to fraction form
    492.63/738.45 = 319.41/x
  3. Step 3: Cross multiply
    492.63x = 738.45 × 319.41
  4. Step 4: Simplify right side
    492.63x = 235,868.31
  5. Step 5: Solve for x
    x = 235,868.31/492.63
  6. Step 6: Final answer
    x = 478.79

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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.