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Finding the Fourth Proportional to 889.15, 1,227.46 and 689.53

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Solution

The fourth proportional to 889.15, 1,227.46 and 689.53 is: 951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.15 : 1,227.46 = 689.53 : x
  2. Step 2: Convert to fraction form
    889.15/1,227.46 = 689.53/x
  3. Step 3: Cross multiply
    889.15x = 1,227.46 × 689.53
  4. Step 4: Simplify right side
    889.15x = 846,370.49
  5. Step 5: Solve for x
    x = 846,370.49/889.15
  6. Step 6: Final answer
    x = 951.89

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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.