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Finding the Fourth Proportional to 493.94, 739.61 and 416.71

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Solution

The fourth proportional to 493.94, 739.61 and 416.71 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 739.61 = 416.71 : x
  2. Step 2: Convert to fraction form
    493.94/739.61 = 416.71/x
  3. Step 3: Cross multiply
    493.94x = 739.61 × 416.71
  4. Step 4: Simplify right side
    493.94x = 308,197.10
  5. Step 5: Solve for x
    x = 308,197.10/493.94
  6. Step 6: Final answer
    x = 623.96

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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.