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Finding the Fourth Proportional to 922.10, 1,381.92 and 824.48

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Solution

The fourth proportional to 922.10, 1,381.92 and 824.48 is: 1,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.10 : 1,381.92 = 824.48 : x
  2. Step 2: Convert to fraction form
    922.10/1,381.92 = 824.48/x
  3. Step 3: Cross multiply
    922.10x = 1,381.92 × 824.48
  4. Step 4: Simplify right side
    922.10x = 1,139,365.40
  5. Step 5: Solve for x
    x = 1,139,365.40/922.10
  6. Step 6: Final answer
    x = 1,235.62

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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.