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Finding the Fourth Proportional to 494.91, 745.00 and 379.99

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Solution

The fourth proportional to 494.91, 745.00 and 379.99 is: 572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.91 : 745.00 = 379.99 : x
  2. Step 2: Convert to fraction form
    494.91/745.00 = 379.99/x
  3. Step 3: Cross multiply
    494.91x = 745.00 × 379.99
  4. Step 4: Simplify right side
    494.91x = 283,092.53
  5. Step 5: Solve for x
    x = 283,092.53/494.91
  6. Step 6: Final answer
    x = 572.01

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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.