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Finding the Fourth Proportional to 528.80, 728.16 and 411.68

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Solution

The fourth proportional to 528.80, 728.16 and 411.68 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.80 : 728.16 = 411.68 : x
  2. Step 2: Convert to fraction form
    528.80/728.16 = 411.68/x
  3. Step 3: Cross multiply
    528.80x = 728.16 × 411.68
  4. Step 4: Simplify right side
    528.80x = 299,768.91
  5. Step 5: Solve for x
    x = 299,768.91/528.80
  6. Step 6: Final answer
    x = 566.89

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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.