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Finding the Fourth Proportional to 613.44, 921.60 and 324.72

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Solution

The fourth proportional to 613.44, 921.60 and 324.72 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 921.60 = 324.72 : x
  2. Step 2: Convert to fraction form
    613.44/921.60 = 324.72/x
  3. Step 3: Cross multiply
    613.44x = 921.60 × 324.72
  4. Step 4: Simplify right side
    613.44x = 299,261.95
  5. Step 5: Solve for x
    x = 299,261.95/613.44
  6. Step 6: Final answer
    x = 487.84

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1.5x scale

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.