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Finding the Fourth Proportional to 922.35, 1,380.87 and 509.97

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Solution

The fourth proportional to 922.35, 1,380.87 and 509.97 is: 763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.35 : 1,380.87 = 509.97 : x
  2. Step 2: Convert to fraction form
    922.35/1,380.87 = 509.97/x
  3. Step 3: Cross multiply
    922.35x = 1,380.87 × 509.97
  4. Step 4: Simplify right side
    922.35x = 704,202.27
  5. Step 5: Solve for x
    x = 704,202.27/922.35
  6. Step 6: Final answer
    x = 763.49

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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.