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Finding the Fourth Proportional to 525.95, 787.29 and 282.14

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Solution

The fourth proportional to 525.95, 787.29 and 282.14 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.95 : 787.29 = 282.14 : x
  2. Step 2: Convert to fraction form
    525.95/787.29 = 282.14/x
  3. Step 3: Cross multiply
    525.95x = 787.29 × 282.14
  4. Step 4: Simplify right side
    525.95x = 222,126.00
  5. Step 5: Solve for x
    x = 222,126.00/525.95
  6. Step 6: Final answer
    x = 422.33

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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.