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Finding the Fourth Proportional to 685.85, 946.21 and 423.41

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Solution

The fourth proportional to 685.85, 946.21 and 423.41 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.85 : 946.21 = 423.41 : x
  2. Step 2: Convert to fraction form
    685.85/946.21 = 423.41/x
  3. Step 3: Cross multiply
    685.85x = 946.21 × 423.41
  4. Step 4: Simplify right side
    685.85x = 400,632.66
  5. Step 5: Solve for x
    x = 400,632.66/685.85
  6. Step 6: Final answer
    x = 584.14

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1.5x scale

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.