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Finding the Fourth Proportional to 528.90, 728.88 and 381.27

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Solution

The fourth proportional to 528.90, 728.88 and 381.27 is: 525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.90 : 728.88 = 381.27 : x
  2. Step 2: Convert to fraction form
    528.90/728.88 = 381.27/x
  3. Step 3: Cross multiply
    528.90x = 728.88 × 381.27
  4. Step 4: Simplify right side
    528.90x = 277,900.08
  5. Step 5: Solve for x
    x = 277,900.08/528.90
  6. Step 6: Final answer
    x = 525.43

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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.