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Finding the Fourth Proportional to 887.29, 1,330.66 and 821.41

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Solution

The fourth proportional to 887.29, 1,330.66 and 821.41 is: 1,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.29 : 1,330.66 = 821.41 : x
  2. Step 2: Convert to fraction form
    887.29/1,330.66 = 821.41/x
  3. Step 3: Cross multiply
    887.29x = 1,330.66 × 821.41
  4. Step 4: Simplify right side
    887.29x = 1,093,017.43
  5. Step 5: Solve for x
    x = 1,093,017.43/887.29
  6. Step 6: Final answer
    x = 1,231.86

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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.