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Finding the Fourth Proportional to 529.38, 792.27 and 421.38

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Solution

The fourth proportional to 529.38, 792.27 and 421.38 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 792.27 = 421.38 : x
  2. Step 2: Convert to fraction form
    529.38/792.27 = 421.38/x
  3. Step 3: Cross multiply
    529.38x = 792.27 × 421.38
  4. Step 4: Simplify right side
    529.38x = 333,846.73
  5. Step 5: Solve for x
    x = 333,846.73/529.38
  6. Step 6: Final answer
    x = 630.64

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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.