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Finding the Fourth Proportional to 423.56, 636 and 402.98

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Solution

The fourth proportional to 423.56, 636 and 402.98 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 636 = 402.98 : x
  2. Step 2: Convert to fraction form
    423.56/636 = 402.98/x
  3. Step 3: Cross multiply
    423.56x = 636 × 402.98
  4. Step 4: Simplify right side
    423.56x = 256,295.28
  5. Step 5: Solve for x
    x = 256,295.28/423.56
  6. Step 6: Final answer
    x = 605.10

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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.