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Finding the Fourth Proportional to 540.52, 745.62 and 319.44

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Solution

The fourth proportional to 540.52, 745.62 and 319.44 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.52 : 745.62 = 319.44 : x
  2. Step 2: Convert to fraction form
    540.52/745.62 = 319.44/x
  3. Step 3: Cross multiply
    540.52x = 745.62 × 319.44
  4. Step 4: Simplify right side
    540.52x = 238,180.85
  5. Step 5: Solve for x
    x = 238,180.85/540.52
  6. Step 6: Final answer
    x = 440.65

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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.