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Finding the Fourth Proportional to 540.51, 745.87 and 319.42

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Solution

The fourth proportional to 540.51, 745.87 and 319.42 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.51 : 745.87 = 319.42 : x
  2. Step 2: Convert to fraction form
    540.51/745.87 = 319.42/x
  3. Step 3: Cross multiply
    540.51x = 745.87 × 319.42
  4. Step 4: Simplify right side
    540.51x = 238,245.93
  5. Step 5: Solve for x
    x = 238,245.93/540.51
  6. Step 6: Final answer
    x = 440.78

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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.