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Finding the Fourth Proportional to 890.57, 1,229.25 and 554.64

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Solution

The fourth proportional to 890.57, 1,229.25 and 554.64 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.57 : 1,229.25 = 554.64 : x
  2. Step 2: Convert to fraction form
    890.57/1,229.25 = 554.64/x
  3. Step 3: Cross multiply
    890.57x = 1,229.25 × 554.64
  4. Step 4: Simplify right side
    890.57x = 681,791.22
  5. Step 5: Solve for x
    x = 681,791.22/890.57
  6. Step 6: Final answer
    x = 765.57

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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.