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Finding the Fourth Proportional to 494.50, 739.83 and 390.71

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Solution

The fourth proportional to 494.50, 739.83 and 390.71 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 739.83 = 390.71 : x
  2. Step 2: Convert to fraction form
    494.50/739.83 = 390.71/x
  3. Step 3: Cross multiply
    494.50x = 739.83 × 390.71
  4. Step 4: Simplify right side
    494.50x = 289,058.98
  5. Step 5: Solve for x
    x = 289,058.98/494.50
  6. Step 6: Final answer
    x = 584.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.