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Finding the Fourth Proportional to 892.04, 1,229.40 and 830.48

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Solution

The fourth proportional to 892.04, 1,229.40 and 830.48 is: 1,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.04 : 1,229.40 = 830.48 : x
  2. Step 2: Convert to fraction form
    892.04/1,229.40 = 830.48/x
  3. Step 3: Cross multiply
    892.04x = 1,229.40 × 830.48
  4. Step 4: Simplify right side
    892.04x = 1,020,992.11
  5. Step 5: Solve for x
    x = 1,020,992.11/892.04
  6. Step 6: Final answer
    x = 1,144.56

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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.