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Finding the Fourth Proportional to 1,098.68, 1,645.85 and 636.17

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Solution

The fourth proportional to 1,098.68, 1,645.85 and 636.17 is: 952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.68 : 1,645.85 = 636.17 : x
  2. Step 2: Convert to fraction form
    1,098.68/1,645.85 = 636.17/x
  3. Step 3: Cross multiply
    1,098.68x = 1,645.85 × 636.17
  4. Step 4: Simplify right side
    1,098.68x = 1,047,028.98
  5. Step 5: Solve for x
    x = 1,047,028.98/1,098.68
  6. Step 6: Final answer
    x = 952.99

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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.