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Finding the Fourth Proportional to 885.60, 1,324.49 and 788.81

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Solution

The fourth proportional to 885.60, 1,324.49 and 788.81 is: 1,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.60 : 1,324.49 = 788.81 : x
  2. Step 2: Convert to fraction form
    885.60/1,324.49 = 788.81/x
  3. Step 3: Cross multiply
    885.60x = 1,324.49 × 788.81
  4. Step 4: Simplify right side
    885.60x = 1,044,760.39
  5. Step 5: Solve for x
    x = 1,044,760.39/885.60
  6. Step 6: Final answer
    x = 1,179.72

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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.