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Finding the Fourth Proportional to 921.54, 1,383.33 and 511.49

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Solution

The fourth proportional to 921.54, 1,383.33 and 511.49 is: 767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.54 : 1,383.33 = 511.49 : x
  2. Step 2: Convert to fraction form
    921.54/1,383.33 = 511.49/x
  3. Step 3: Cross multiply
    921.54x = 1,383.33 × 511.49
  4. Step 4: Simplify right side
    921.54x = 707,552.55
  5. Step 5: Solve for x
    x = 707,552.55/921.54
  6. Step 6: Final answer
    x = 767.79

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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.