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Finding the Fourth Proportional to 494.78, 737.80 and 426.74

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Solution

The fourth proportional to 494.78, 737.80 and 426.74 is: 636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.78 : 737.80 = 426.74 : x
  2. Step 2: Convert to fraction form
    494.78/737.80 = 426.74/x
  3. Step 3: Cross multiply
    494.78x = 737.80 × 426.74
  4. Step 4: Simplify right side
    494.78x = 314,848.77
  5. Step 5: Solve for x
    x = 314,848.77/494.78
  6. Step 6: Final answer
    x = 636.34

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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.