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Finding the Fourth Proportional to 525.89, 787.83 and 282.08

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Solution

The fourth proportional to 525.89, 787.83 and 282.08 is: 422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.89 : 787.83 = 282.08 : x
  2. Step 2: Convert to fraction form
    525.89/787.83 = 282.08/x
  3. Step 3: Cross multiply
    525.89x = 787.83 × 282.08
  4. Step 4: Simplify right side
    525.89x = 222,232.00
  5. Step 5: Solve for x
    x = 222,232.00/525.89
  6. Step 6: Final answer
    x = 422.58

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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.