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Finding the Fourth Proportional to 892.02, 1,339.65 and 687.09

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Solution

The fourth proportional to 892.02, 1,339.65 and 687.09 is: 1,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.02 : 1,339.65 = 687.09 : x
  2. Step 2: Convert to fraction form
    892.02/1,339.65 = 687.09/x
  3. Step 3: Cross multiply
    892.02x = 1,339.65 × 687.09
  4. Step 4: Simplify right side
    892.02x = 920,460.12
  5. Step 5: Solve for x
    x = 920,460.12/892.02
  6. Step 6: Final answer
    x = 1,031.88

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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.