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Finding the Fourth Proportional to 540.77, 745.49 and 385.25

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Solution

The fourth proportional to 540.77, 745.49 and 385.25 is: 531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 745.49 = 385.25 : x
  2. Step 2: Convert to fraction form
    540.77/745.49 = 385.25/x
  3. Step 3: Cross multiply
    540.77x = 745.49 × 385.25
  4. Step 4: Simplify right side
    540.77x = 287,198.10
  5. Step 5: Solve for x
    x = 287,198.10/540.77
  6. Step 6: Final answer
    x = 531.09

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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.