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Finding the Fourth Proportional to 884.96, 1,222.08 and 575.04

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Solution

The fourth proportional to 884.96, 1,222.08 and 575.04 is: 794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.96 : 1,222.08 = 575.04 : x
  2. Step 2: Convert to fraction form
    884.96/1,222.08 = 575.04/x
  3. Step 3: Cross multiply
    884.96x = 1,222.08 × 575.04
  4. Step 4: Simplify right side
    884.96x = 702,744.88
  5. Step 5: Solve for x
    x = 702,744.88/884.96
  6. Step 6: Final answer
    x = 794.10

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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.