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Finding the Fourth Proportional to 540.22, 745.61 and 452.86

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Solution

The fourth proportional to 540.22, 745.61 and 452.86 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 745.61 = 452.86 : x
  2. Step 2: Convert to fraction form
    540.22/745.61 = 452.86/x
  3. Step 3: Cross multiply
    540.22x = 745.61 × 452.86
  4. Step 4: Simplify right side
    540.22x = 337,656.94
  5. Step 5: Solve for x
    x = 337,656.94/540.22
  6. Step 6: Final answer
    x = 625.04

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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.