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Finding the Fourth Proportional to 921.54, 1,383.33 and 511.47

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Solution

The fourth proportional to 921.54, 1,383.33 and 511.47 is: 767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.54 : 1,383.33 = 511.47 : x
  2. Step 2: Convert to fraction form
    921.54/1,383.33 = 511.47/x
  3. Step 3: Cross multiply
    921.54x = 1,383.33 × 511.47
  4. Step 4: Simplify right side
    921.54x = 707,531.80
  5. Step 5: Solve for x
    x = 707,531.80/921.54
  6. Step 6: Final answer
    x = 767.77

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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.