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Finding the Fourth Proportional to 884.24, 1,220.84 and 552.80

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Solution

The fourth proportional to 884.24, 1,220.84 and 552.80 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.24 : 1,220.84 = 552.80 : x
  2. Step 2: Convert to fraction form
    884.24/1,220.84 = 552.80/x
  3. Step 3: Cross multiply
    884.24x = 1,220.84 × 552.80
  4. Step 4: Simplify right side
    884.24x = 674,880.35
  5. Step 5: Solve for x
    x = 674,880.35/884.24
  6. Step 6: Final answer
    x = 763.23

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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.