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Finding the Fourth Proportional to 528.28, 728.34 and 341.44

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Solution

The fourth proportional to 528.28, 728.34 and 341.44 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.28 : 728.34 = 341.44 : x
  2. Step 2: Convert to fraction form
    528.28/728.34 = 341.44/x
  3. Step 3: Cross multiply
    528.28x = 728.34 × 341.44
  4. Step 4: Simplify right side
    528.28x = 248,680.77
  5. Step 5: Solve for x
    x = 248,680.77/528.28
  6. Step 6: Final answer
    x = 470.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.