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Finding the Fourth Proportional to 1,645.73, 2,468.56 and 475.75

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Solution

The fourth proportional to 1,645.73, 2,468.56 and 475.75 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.73 : 2,468.56 = 475.75 : x
  2. Step 2: Convert to fraction form
    1,645.73/2,468.56 = 475.75/x
  3. Step 3: Cross multiply
    1,645.73x = 2,468.56 × 475.75
  4. Step 4: Simplify right side
    1,645.73x = 1,174,417.42
  5. Step 5: Solve for x
    x = 1,174,417.42/1,645.73
  6. Step 6: Final answer
    x = 713.61

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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.