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Finding the Fourth Proportional to 494.88, 738.18 and 452.94

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Solution

The fourth proportional to 494.88, 738.18 and 452.94 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.88 : 738.18 = 452.94 : x
  2. Step 2: Convert to fraction form
    494.88/738.18 = 452.94/x
  3. Step 3: Cross multiply
    494.88x = 738.18 × 452.94
  4. Step 4: Simplify right side
    494.88x = 334,351.25
  5. Step 5: Solve for x
    x = 334,351.25/494.88
  6. Step 6: Final answer
    x = 675.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.