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Finding the Fourth Proportional to 652.28, 892.15 and 642.56

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Solution

The fourth proportional to 652.28, 892.15 and 642.56 is: 878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.28 : 892.15 = 642.56 : x
  2. Step 2: Convert to fraction form
    652.28/892.15 = 642.56/x
  3. Step 3: Cross multiply
    652.28x = 892.15 × 642.56
  4. Step 4: Simplify right side
    652.28x = 573,253.84
  5. Step 5: Solve for x
    x = 573,253.84/652.28
  6. Step 6: Final answer
    x = 878.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.