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Finding the Fourth Proportional to 685.36, 945.99 and 390.82

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Solution

The fourth proportional to 685.36, 945.99 and 390.82 is: 539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.36 : 945.99 = 390.82 : x
  2. Step 2: Convert to fraction form
    685.36/945.99 = 390.82/x
  3. Step 3: Cross multiply
    685.36x = 945.99 × 390.82
  4. Step 4: Simplify right side
    685.36x = 369,711.81
  5. Step 5: Solve for x
    x = 369,711.81/685.36
  6. Step 6: Final answer
    x = 539.44

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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.