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Finding the Fourth Proportional to 896.94, 1,234.85 and 772.47

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Solution

The fourth proportional to 896.94, 1,234.85 and 772.47 is: 1,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.94 : 1,234.85 = 772.47 : x
  2. Step 2: Convert to fraction form
    896.94/1,234.85 = 772.47/x
  3. Step 3: Cross multiply
    896.94x = 1,234.85 × 772.47
  4. Step 4: Simplify right side
    896.94x = 953,880.72
  5. Step 5: Solve for x
    x = 953,880.72/896.94
  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.