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Finding the Fourth Proportional to 894.45, 1,232.49 and 761.22

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Solution

The fourth proportional to 894.45, 1,232.49 and 761.22 is: 1,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.45 : 1,232.49 = 761.22 : x
  2. Step 2: Convert to fraction form
    894.45/1,232.49 = 761.22/x
  3. Step 3: Cross multiply
    894.45x = 1,232.49 × 761.22
  4. Step 4: Simplify right side
    894.45x = 938,196.04
  5. Step 5: Solve for x
    x = 938,196.04/894.45
  6. Step 6: Final answer
    x = 1,048.91

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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.