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Finding the Fourth Proportional to 494.42, 738.42 and 448.06

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Solution

The fourth proportional to 494.42, 738.42 and 448.06 is: 669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 738.42 = 448.06 : x
  2. Step 2: Convert to fraction form
    494.42/738.42 = 448.06/x
  3. Step 3: Cross multiply
    494.42x = 738.42 × 448.06
  4. Step 4: Simplify right side
    494.42x = 330,856.03
  5. Step 5: Solve for x
    x = 330,856.03/494.42
  6. Step 6: Final answer
    x = 669.18

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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.