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Finding the Fourth Proportional to 922.29, 1,383.77 and 428.92

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Solution

The fourth proportional to 922.29, 1,383.77 and 428.92 is: 643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.29 : 1,383.77 = 428.92 : x
  2. Step 2: Convert to fraction form
    922.29/1,383.77 = 428.92/x
  3. Step 3: Cross multiply
    922.29x = 1,383.77 × 428.92
  4. Step 4: Simplify right side
    922.29x = 593,526.63
  5. Step 5: Solve for x
    x = 593,526.63/922.29
  6. Step 6: Final answer
    x = 643.54

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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.