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Finding the Fourth Proportional to 866.52, 1,298.67 and 635.34

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Solution

The fourth proportional to 866.52, 1,298.67 and 635.34 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.52 : 1,298.67 = 635.34 : x
  2. Step 2: Convert to fraction form
    866.52/1,298.67 = 635.34/x
  3. Step 3: Cross multiply
    866.52x = 1,298.67 × 635.34
  4. Step 4: Simplify right side
    866.52x = 825,097.00
  5. Step 5: Solve for x
    x = 825,097.00/866.52
  6. Step 6: Final answer
    x = 952.20

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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.