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Finding the Fourth Proportional to 885.31, 1,326.78 and 792.20

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Solution

The fourth proportional to 885.31, 1,326.78 and 792.20 is: 1,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.31 : 1,326.78 = 792.20 : x
  2. Step 2: Convert to fraction form
    885.31/1,326.78 = 792.20/x
  3. Step 3: Cross multiply
    885.31x = 1,326.78 × 792.20
  4. Step 4: Simplify right side
    885.31x = 1,051,078.43
  5. Step 5: Solve for x
    x = 1,051,078.43/885.31
  6. Step 6: Final answer
    x = 1,187.25

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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.