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Finding the Fourth Proportional to 892.54, 1,339.62 and 764.02

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Solution

The fourth proportional to 892.54, 1,339.62 and 764.02 is: 1,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.54 : 1,339.62 = 764.02 : x
  2. Step 2: Convert to fraction form
    892.54/1,339.62 = 764.02/x
  3. Step 3: Cross multiply
    892.54x = 1,339.62 × 764.02
  4. Step 4: Simplify right side
    892.54x = 1,023,496.47
  5. Step 5: Solve for x
    x = 1,023,496.47/892.54
  6. Step 6: Final answer
    x = 1,146.72

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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.