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Finding the Fourth Proportional to 540.78, 815.12 and 494.62

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Solution

The fourth proportional to 540.78, 815.12 and 494.62 is: 745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 815.12 = 494.62 : x
  2. Step 2: Convert to fraction form
    540.78/815.12 = 494.62/x
  3. Step 3: Cross multiply
    540.78x = 815.12 × 494.62
  4. Step 4: Simplify right side
    540.78x = 403,174.65
  5. Step 5: Solve for x
    x = 403,174.65/540.78
  6. Step 6: Final answer
    x = 745.54

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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.