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Finding the Fourth Proportional to 659.82, 991.13 and 416.51

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Solution

The fourth proportional to 659.82, 991.13 and 416.51 is: 625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 991.13 = 416.51 : x
  2. Step 2: Convert to fraction form
    659.82/991.13 = 416.51/x
  3. Step 3: Cross multiply
    659.82x = 991.13 × 416.51
  4. Step 4: Simplify right side
    659.82x = 412,815.56
  5. Step 5: Solve for x
    x = 412,815.56/659.82
  6. Step 6: Final answer
    x = 625.65

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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.