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Finding the Fourth Proportional to 922.21, 1,380.92 and 510.49

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Solution

The fourth proportional to 922.21, 1,380.92 and 510.49 is: 764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.21 : 1,380.92 = 510.49 : x
  2. Step 2: Convert to fraction form
    922.21/1,380.92 = 510.49/x
  3. Step 3: Cross multiply
    922.21x = 1,380.92 × 510.49
  4. Step 4: Simplify right side
    922.21x = 704,945.85
  5. Step 5: Solve for x
    x = 704,945.85/922.21
  6. Step 6: Final answer
    x = 764.41

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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.