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Finding the Fourth Proportional to 894.82, 1,233.64 and 771.78

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Solution

The fourth proportional to 894.82, 1,233.64 and 771.78 is: 1,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.82 : 1,233.64 = 771.78 : x
  2. Step 2: Convert to fraction form
    894.82/1,233.64 = 771.78/x
  3. Step 3: Cross multiply
    894.82x = 1,233.64 × 771.78
  4. Step 4: Simplify right side
    894.82x = 952,098.68
  5. Step 5: Solve for x
    x = 952,098.68/894.82
  6. Step 6: Final answer
    x = 1,064.01

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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.