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Finding the Fourth Proportional to 540.07, 745.30 and 408.85

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Solution

The fourth proportional to 540.07, 745.30 and 408.85 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.07 : 745.30 = 408.85 : x
  2. Step 2: Convert to fraction form
    540.07/745.30 = 408.85/x
  3. Step 3: Cross multiply
    540.07x = 745.30 × 408.85
  4. Step 4: Simplify right side
    540.07x = 304,714.55
  5. Step 5: Solve for x
    x = 304,714.55/540.07
  6. Step 6: Final answer
    x = 564.22

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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.