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Finding the Fourth Proportional to 1,610.99, 2,414.73 and 636.02

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Solution

The fourth proportional to 1,610.99, 2,414.73 and 636.02 is: 953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.99 : 2,414.73 = 636.02 : x
  2. Step 2: Convert to fraction form
    1,610.99/2,414.73 = 636.02/x
  3. Step 3: Cross multiply
    1,610.99x = 2,414.73 × 636.02
  4. Step 4: Simplify right side
    1,610.99x = 1,535,816.57
  5. Step 5: Solve for x
    x = 1,535,816.57/1,610.99
  6. Step 6: Final answer
    x = 953.34

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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.