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Finding the Fourth Proportional to 685.93, 946.20 and 423.76

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Solution

The fourth proportional to 685.93, 946.20 and 423.76 is: 584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 946.20 = 423.76 : x
  2. Step 2: Convert to fraction form
    685.93/946.20 = 423.76/x
  3. Step 3: Cross multiply
    685.93x = 946.20 × 423.76
  4. Step 4: Simplify right side
    685.93x = 400,961.71
  5. Step 5: Solve for x
    x = 400,961.71/685.93
  6. Step 6: Final answer
    x = 584.55

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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.