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Finding the Fourth Proportional to 494.20, 737.69 and 494.20

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Solution

The fourth proportional to 494.20, 737.69 and 494.20 is: 737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 737.69 = 494.20 : x
  2. Step 2: Convert to fraction form
    494.20/737.69 = 494.20/x
  3. Step 3: Cross multiply
    494.20x = 737.69 × 494.20
  4. Step 4: Simplify right side
    494.20x = 364,566.40
  5. Step 5: Solve for x
    x = 364,566.40/494.20
  6. Step 6: Final answer
    x = 737.69

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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.