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Finding the Fourth Proportional to 894.29, 1,232.82 and 645.22

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Solution

The fourth proportional to 894.29, 1,232.82 and 645.22 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.29 : 1,232.82 = 645.22 : x
  2. Step 2: Convert to fraction form
    894.29/1,232.82 = 645.22/x
  3. Step 3: Cross multiply
    894.29x = 1,232.82 × 645.22
  4. Step 4: Simplify right side
    894.29x = 795,434.73
  5. Step 5: Solve for x
    x = 795,434.73/894.29
  6. Step 6: Final answer
    x = 889.46

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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.