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Finding the Fourth Proportional to 540.38, 746.08 and 415.82

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Solution

The fourth proportional to 540.38, 746.08 and 415.82 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.38 : 746.08 = 415.82 : x
  2. Step 2: Convert to fraction form
    540.38/746.08 = 415.82/x
  3. Step 3: Cross multiply
    540.38x = 746.08 × 415.82
  4. Step 4: Simplify right side
    540.38x = 310,234.99
  5. Step 5: Solve for x
    x = 310,234.99/540.38
  6. Step 6: Final answer
    x = 574.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.