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Finding the Fourth Proportional to 525.78, 787.46 and 282.20

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Solution

The fourth proportional to 525.78, 787.46 and 282.20 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 787.46 = 282.20 : x
  2. Step 2: Convert to fraction form
    525.78/787.46 = 282.20/x
  3. Step 3: Cross multiply
    525.78x = 787.46 × 282.20
  4. Step 4: Simplify right side
    525.78x = 222,215.86
  5. Step 5: Solve for x
    x = 222,215.86/525.78
  6. Step 6: Final answer
    x = 422.64

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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.