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Finding the Fourth Proportional to 528.50, 796.34 and 439.20

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Solution

The fourth proportional to 528.50, 796.34 and 439.20 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.50 : 796.34 = 439.20 : x
  2. Step 2: Convert to fraction form
    528.50/796.34 = 439.20/x
  3. Step 3: Cross multiply
    528.50x = 796.34 × 439.20
  4. Step 4: Simplify right side
    528.50x = 349,752.53
  5. Step 5: Solve for x
    x = 349,752.53/528.50
  6. Step 6: Final answer
    x = 661.78

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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.