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Finding the Fourth Proportional to 525.82, 788.02 and 281.87

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Solution

The fourth proportional to 525.82, 788.02 and 281.87 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.82 : 788.02 = 281.87 : x
  2. Step 2: Convert to fraction form
    525.82/788.02 = 281.87/x
  3. Step 3: Cross multiply
    525.82x = 788.02 × 281.87
  4. Step 4: Simplify right side
    525.82x = 222,119.20
  5. Step 5: Solve for x
    x = 222,119.20/525.82
  6. Step 6: Final answer
    x = 422.42

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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.