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Finding the Fourth Proportional to 659.97, 985.32 and 620.82

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Solution

The fourth proportional to 659.97, 985.32 and 620.82 is: 926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 985.32 = 620.82 : x
  2. Step 2: Convert to fraction form
    659.97/985.32 = 620.82/x
  3. Step 3: Cross multiply
    659.97x = 985.32 × 620.82
  4. Step 4: Simplify right side
    659.97x = 611,706.36
  5. Step 5: Solve for x
    x = 611,706.36/659.97
  6. Step 6: Final answer
    x = 926.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.