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Finding the Fourth Proportional to 528.76, 796.22 and 392.76

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Solution

The fourth proportional to 528.76, 796.22 and 392.76 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.76 : 796.22 = 392.76 : x
  2. Step 2: Convert to fraction form
    528.76/796.22 = 392.76/x
  3. Step 3: Cross multiply
    528.76x = 796.22 × 392.76
  4. Step 4: Simplify right side
    528.76x = 312,723.37
  5. Step 5: Solve for x
    x = 312,723.37/528.76
  6. Step 6: Final answer
    x = 591.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.