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Finding the Fourth Proportional to 615.44, 921.74 and 306.33

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Solution

The fourth proportional to 615.44, 921.74 and 306.33 is: 458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.44 : 921.74 = 306.33 : x
  2. Step 2: Convert to fraction form
    615.44/921.74 = 306.33/x
  3. Step 3: Cross multiply
    615.44x = 921.74 × 306.33
  4. Step 4: Simplify right side
    615.44x = 282,355.08
  5. Step 5: Solve for x
    x = 282,355.08/615.44
  6. Step 6: Final answer
    x = 458.79

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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.