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Finding the Fourth Proportional to 494.67, 745.34 and 409.89

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Solution

The fourth proportional to 494.67, 745.34 and 409.89 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 745.34 = 409.89 : x
  2. Step 2: Convert to fraction form
    494.67/745.34 = 409.89/x
  3. Step 3: Cross multiply
    494.67x = 745.34 × 409.89
  4. Step 4: Simplify right side
    494.67x = 305,507.41
  5. Step 5: Solve for x
    x = 305,507.41/494.67
  6. Step 6: Final answer
    x = 617.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.