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Finding the Fourth Proportional to 494.15, 737.61 and 457.49

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Solution

The fourth proportional to 494.15, 737.61 and 457.49 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.15 : 737.61 = 457.49 : x
  2. Step 2: Convert to fraction form
    494.15/737.61 = 457.49/x
  3. Step 3: Cross multiply
    494.15x = 737.61 × 457.49
  4. Step 4: Simplify right side
    494.15x = 337,451.04
  5. Step 5: Solve for x
    x = 337,451.04/494.15
  6. Step 6: Final answer
    x = 682.90

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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.