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Finding the Fourth Proportional to 887.20, 1,222.80 and 814.24

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Solution

The fourth proportional to 887.20, 1,222.80 and 814.24 is: 1,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.20 : 1,222.80 = 814.24 : x
  2. Step 2: Convert to fraction form
    887.20/1,222.80 = 814.24/x
  3. Step 3: Cross multiply
    887.20x = 1,222.80 × 814.24
  4. Step 4: Simplify right side
    887.20x = 995,652.67
  5. Step 5: Solve for x
    x = 995,652.67/887.20
  6. Step 6: Final answer
    x = 1,122.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.