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Finding the Fourth Proportional to 489.44, 732.36 and 408.32

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Solution

The fourth proportional to 489.44, 732.36 and 408.32 is: 610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.44 : 732.36 = 408.32 : x
  2. Step 2: Convert to fraction form
    489.44/732.36 = 408.32/x
  3. Step 3: Cross multiply
    489.44x = 732.36 × 408.32
  4. Step 4: Simplify right side
    489.44x = 299,037.24
  5. Step 5: Solve for x
    x = 299,037.24/489.44
  6. Step 6: Final answer
    x = 610.98

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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.