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Finding the Fourth Proportional to 921.95, 1,383.53 and 344.82

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Solution

The fourth proportional to 921.95, 1,383.53 and 344.82 is: 517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.95 : 1,383.53 = 344.82 : x
  2. Step 2: Convert to fraction form
    921.95/1,383.53 = 344.82/x
  3. Step 3: Cross multiply
    921.95x = 1,383.53 × 344.82
  4. Step 4: Simplify right side
    921.95x = 477,067.09
  5. Step 5: Solve for x
    x = 477,067.09/921.95
  6. Step 6: Final answer
    x = 517.46

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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.