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Finding the Fourth Proportional to 894.40, 1,234.40 and 770.56

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Solution

The fourth proportional to 894.40, 1,234.40 and 770.56 is: 1,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,234.40 = 770.56 : x
  2. Step 2: Convert to fraction form
    894.40/1,234.40 = 770.56/x
  3. Step 3: Cross multiply
    894.40x = 1,234.40 × 770.56
  4. Step 4: Simplify right side
    894.40x = 951,179.26
  5. Step 5: Solve for x
    x = 951,179.26/894.40
  6. Step 6: Final answer
    x = 1,063.48

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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.