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Finding the Fourth Proportional to 685.14, 945.70 and 423.24

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Solution

The fourth proportional to 685.14, 945.70 and 423.24 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 945.70 = 423.24 : x
  2. Step 2: Convert to fraction form
    685.14/945.70 = 423.24/x
  3. Step 3: Cross multiply
    685.14x = 945.70 × 423.24
  4. Step 4: Simplify right side
    685.14x = 400,258.07
  5. Step 5: Solve for x
    x = 400,258.07/685.14
  6. Step 6: Final answer
    x = 584.20

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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.