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Finding the Fourth Proportional to 423.56, 634.14 and 286.28

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Solution

The fourth proportional to 423.56, 634.14 and 286.28 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 634.14 = 286.28 : x
  2. Step 2: Convert to fraction form
    423.56/634.14 = 286.28/x
  3. Step 3: Cross multiply
    423.56x = 634.14 × 286.28
  4. Step 4: Simplify right side
    423.56x = 181,541.60
  5. Step 5: Solve for x
    x = 181,541.60/423.56
  6. Step 6: Final answer
    x = 428.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.