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Finding the Fourth Proportional to 423.59, 634.46 and 286.02

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Solution

The fourth proportional to 423.59, 634.46 and 286.02 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.59 : 634.46 = 286.02 : x
  2. Step 2: Convert to fraction form
    423.59/634.46 = 286.02/x
  3. Step 3: Cross multiply
    423.59x = 634.46 × 286.02
  4. Step 4: Simplify right side
    423.59x = 181,466.82
  5. Step 5: Solve for x
    x = 181,466.82/423.59
  6. Step 6: Final answer
    x = 428.41

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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.