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Finding the Fourth Proportional to 540.72, 815.01 and 494.70

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Solution

The fourth proportional to 540.72, 815.01 and 494.70 is: 745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 815.01 = 494.70 : x
  2. Step 2: Convert to fraction form
    540.72/815.01 = 494.70/x
  3. Step 3: Cross multiply
    540.72x = 815.01 × 494.70
  4. Step 4: Simplify right side
    540.72x = 403,185.45
  5. Step 5: Solve for x
    x = 403,185.45/540.72
  6. Step 6: Final answer
    x = 745.65

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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.