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Finding the Fourth Proportional to 685.97, 946.64 and 391.33

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Solution

The fourth proportional to 685.97, 946.64 and 391.33 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 946.64 = 391.33 : x
  2. Step 2: Convert to fraction form
    685.97/946.64 = 391.33/x
  3. Step 3: Cross multiply
    685.97x = 946.64 × 391.33
  4. Step 4: Simplify right side
    685.97x = 370,448.59
  5. Step 5: Solve for x
    x = 370,448.59/685.97
  6. Step 6: Final answer
    x = 540.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.