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Finding the Fourth Proportional to 922.48, 1,385.88 and 792.88

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Solution

The fourth proportional to 922.48, 1,385.88 and 792.88 is: 1,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.48 : 1,385.88 = 792.88 : x
  2. Step 2: Convert to fraction form
    922.48/1,385.88 = 792.88/x
  3. Step 3: Cross multiply
    922.48x = 1,385.88 × 792.88
  4. Step 4: Simplify right side
    922.48x = 1,098,836.53
  5. Step 5: Solve for x
    x = 1,098,836.53/922.48
  6. Step 6: Final answer
    x = 1,191.18

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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.