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Finding the Fourth Proportional to 540.69, 745.90 and 319.56

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Solution

The fourth proportional to 540.69, 745.90 and 319.56 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 745.90 = 319.56 : x
  2. Step 2: Convert to fraction form
    540.69/745.90 = 319.56/x
  3. Step 3: Cross multiply
    540.69x = 745.90 × 319.56
  4. Step 4: Simplify right side
    540.69x = 238,359.80
  5. Step 5: Solve for x
    x = 238,359.80/540.69
  6. Step 6: Final answer
    x = 440.84

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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.