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Finding the Fourth Proportional to 685.76, 946.16 and 423.68

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Solution

The fourth proportional to 685.76, 946.16 and 423.68 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.76 : 946.16 = 423.68 : x
  2. Step 2: Convert to fraction form
    685.76/946.16 = 423.68/x
  3. Step 3: Cross multiply
    685.76x = 946.16 × 423.68
  4. Step 4: Simplify right side
    685.76x = 400,869.07
  5. Step 5: Solve for x
    x = 400,869.07/685.76
  6. Step 6: Final answer
    x = 584.56

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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.