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Finding the Fourth Proportional to 922.73, 1,383.47 and 484.23

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Solution

The fourth proportional to 922.73, 1,383.47 and 484.23 is: 726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.73 : 1,383.47 = 484.23 : x
  2. Step 2: Convert to fraction form
    922.73/1,383.47 = 484.23/x
  3. Step 3: Cross multiply
    922.73x = 1,383.47 × 484.23
  4. Step 4: Simplify right side
    922.73x = 669,915.26
  5. Step 5: Solve for x
    x = 669,915.26/922.73
  6. Step 6: Final answer
    x = 726.01

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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.