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Finding the Fourth Proportional to 540.78, 746.37 and 319.83

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Solution

The fourth proportional to 540.78, 746.37 and 319.83 is: 441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 746.37 = 319.83 : x
  2. Step 2: Convert to fraction form
    540.78/746.37 = 319.83/x
  3. Step 3: Cross multiply
    540.78x = 746.37 × 319.83
  4. Step 4: Simplify right side
    540.78x = 238,711.52
  5. Step 5: Solve for x
    x = 238,711.52/540.78
  6. Step 6: Final answer
    x = 441.42

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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.