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Finding the Fourth Proportional to 526.54, 789.82 and 282.34

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Solution

The fourth proportional to 526.54, 789.82 and 282.34 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.54 : 789.82 = 282.34 : x
  2. Step 2: Convert to fraction form
    526.54/789.82 = 282.34/x
  3. Step 3: Cross multiply
    526.54x = 789.82 × 282.34
  4. Step 4: Simplify right side
    526.54x = 222,997.78
  5. Step 5: Solve for x
    x = 222,997.78/526.54
  6. Step 6: Final answer
    x = 423.52

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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.