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Finding the Fourth Proportional to 1,087.48, 1,631.49 and 892.81

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Solution

The fourth proportional to 1,087.48, 1,631.49 and 892.81 is: 1,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.48 : 1,631.49 = 892.81 : x
  2. Step 2: Convert to fraction form
    1,087.48/1,631.49 = 892.81/x
  3. Step 3: Cross multiply
    1,087.48x = 1,631.49 × 892.81
  4. Step 4: Simplify right side
    1,087.48x = 1,456,610.59
  5. Step 5: Solve for x
    x = 1,456,610.59/1,087.48
  6. Step 6: Final answer
    x = 1,339.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.