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Finding the Fourth Proportional to 685.84, 946.41 and 423.86

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Solution

The fourth proportional to 685.84, 946.41 and 423.86 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.84 : 946.41 = 423.86 : x
  2. Step 2: Convert to fraction form
    685.84/946.41 = 423.86/x
  3. Step 3: Cross multiply
    685.84x = 946.41 × 423.86
  4. Step 4: Simplify right side
    685.84x = 401,145.34
  5. Step 5: Solve for x
    x = 401,145.34/685.84
  6. Step 6: Final answer
    x = 584.90

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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.