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Finding the Fourth Proportional to 921.47, 1,382.31 and 336.38

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Solution

The fourth proportional to 921.47, 1,382.31 and 336.38 is: 504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.47 : 1,382.31 = 336.38 : x
  2. Step 2: Convert to fraction form
    921.47/1,382.31 = 336.38/x
  3. Step 3: Cross multiply
    921.47x = 1,382.31 × 336.38
  4. Step 4: Simplify right side
    921.47x = 464,974.53
  5. Step 5: Solve for x
    x = 464,974.53/921.47
  6. Step 6: Final answer
    x = 504.60

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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.