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Finding the Fourth Proportional to 685.85, 946.64 and 423.71

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Solution

The fourth proportional to 685.85, 946.64 and 423.71 is: 584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.85 : 946.64 = 423.71 : x
  2. Step 2: Convert to fraction form
    685.85/946.64 = 423.71/x
  3. Step 3: Cross multiply
    685.85x = 946.64 × 423.71
  4. Step 4: Simplify right side
    685.85x = 401,100.71
  5. Step 5: Solve for x
    x = 401,100.71/685.85
  6. Step 6: Final answer
    x = 584.83

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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.