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Finding the Fourth Proportional to 921.50, 1,382.28 and 408.50

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Solution

The fourth proportional to 921.50, 1,382.28 and 408.50 is: 612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.50 : 1,382.28 = 408.50 : x
  2. Step 2: Convert to fraction form
    921.50/1,382.28 = 408.50/x
  3. Step 3: Cross multiply
    921.50x = 1,382.28 × 408.50
  4. Step 4: Simplify right side
    921.50x = 564,661.38
  5. Step 5: Solve for x
    x = 564,661.38/921.50
  6. Step 6: Final answer
    x = 612.76

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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.