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Finding the Fourth Proportional to 613.46, 921 and 321.18

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Solution

The fourth proportional to 613.46, 921 and 321.18 is: 482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.46 : 921 = 321.18 : x
  2. Step 2: Convert to fraction form
    613.46/921 = 321.18/x
  3. Step 3: Cross multiply
    613.46x = 921 × 321.18
  4. Step 4: Simplify right side
    613.46x = 295,806.78
  5. Step 5: Solve for x
    x = 295,806.78/613.46
  6. Step 6: Final answer
    x = 482.20

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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.