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Finding the Fourth Proportional to 685.86, 946.44 and 391.14

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Solution

The fourth proportional to 685.86, 946.44 and 391.14 is: 539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 946.44 = 391.14 : x
  2. Step 2: Convert to fraction form
    685.86/946.44 = 391.14/x
  3. Step 3: Cross multiply
    685.86x = 946.44 × 391.14
  4. Step 4: Simplify right side
    685.86x = 370,190.54
  5. Step 5: Solve for x
    x = 370,190.54/685.86
  6. Step 6: Final answer
    x = 539.75

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