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Finding the Fourth Proportional to 423.96, 635.94 and 420.72

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Solution

The fourth proportional to 423.96, 635.94 and 420.72 is: 631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.96 : 635.94 = 420.72 : x
  2. Step 2: Convert to fraction form
    423.96/635.94 = 420.72/x
  3. Step 3: Cross multiply
    423.96x = 635.94 × 420.72
  4. Step 4: Simplify right side
    423.96x = 267,552.68
  5. Step 5: Solve for x
    x = 267,552.68/423.96
  6. Step 6: Final answer
    x = 631.08

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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.