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Finding the Fourth Proportional to 492.95, 738.97 and 450.15

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Solution

The fourth proportional to 492.95, 738.97 and 450.15 is: 674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 738.97 = 450.15 : x
  2. Step 2: Convert to fraction form
    492.95/738.97 = 450.15/x
  3. Step 3: Cross multiply
    492.95x = 738.97 × 450.15
  4. Step 4: Simplify right side
    492.95x = 332,643.65
  5. Step 5: Solve for x
    x = 332,643.65/492.95
  6. Step 6: Final answer
    x = 674.80

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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.