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Finding the Fourth Proportional to 494.57, 744.48 and 449.93

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Solution

The fourth proportional to 494.57, 744.48 and 449.93 is: 677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.57 : 744.48 = 449.93 : x
  2. Step 2: Convert to fraction form
    494.57/744.48 = 449.93/x
  3. Step 3: Cross multiply
    494.57x = 744.48 × 449.93
  4. Step 4: Simplify right side
    494.57x = 334,963.89
  5. Step 5: Solve for x
    x = 334,963.89/494.57
  6. Step 6: Final answer
    x = 677.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.