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Finding the Fourth Proportional to 528.92, 792.02 and 345.78

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Solution

The fourth proportional to 528.92, 792.02 and 345.78 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.92 : 792.02 = 345.78 : x
  2. Step 2: Convert to fraction form
    528.92/792.02 = 345.78/x
  3. Step 3: Cross multiply
    528.92x = 792.02 × 345.78
  4. Step 4: Simplify right side
    528.92x = 273,864.68
  5. Step 5: Solve for x
    x = 273,864.68/528.92
  6. Step 6: Final answer
    x = 517.78

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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.