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Finding the Fourth Proportional to 528.27, 728.82 and 410.73

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Solution

The fourth proportional to 528.27, 728.82 and 410.73 is: 566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.27 : 728.82 = 410.73 : x
  2. Step 2: Convert to fraction form
    528.27/728.82 = 410.73/x
  3. Step 3: Cross multiply
    528.27x = 728.82 × 410.73
  4. Step 4: Simplify right side
    528.27x = 299,348.24
  5. Step 5: Solve for x
    x = 299,348.24/528.27
  6. Step 6: Final answer
    x = 566.66

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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.