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Finding the Fourth Proportional to 528.58, 791.33 and 281.20

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Solution

The fourth proportional to 528.58, 791.33 and 281.20 is: 420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.58 : 791.33 = 281.20 : x
  2. Step 2: Convert to fraction form
    528.58/791.33 = 281.20/x
  3. Step 3: Cross multiply
    528.58x = 791.33 × 281.20
  4. Step 4: Simplify right side
    528.58x = 222,522.00
  5. Step 5: Solve for x
    x = 222,522.00/528.58
  6. Step 6: Final answer
    x = 420.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.