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Finding the Fourth Proportional to 614.61, 920.47 and 321.41

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Solution

The fourth proportional to 614.61, 920.47 and 321.41 is: 481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 920.47 = 321.41 : x
  2. Step 2: Convert to fraction form
    614.61/920.47 = 321.41/x
  3. Step 3: Cross multiply
    614.61x = 920.47 × 321.41
  4. Step 4: Simplify right side
    614.61x = 295,846.66
  5. Step 5: Solve for x
    x = 295,846.66/614.61
  6. Step 6: Final answer
    x = 481.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.