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Finding the Fourth Proportional to 714.91, 1,072.43 and 252.64

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Solution

The fourth proportional to 714.91, 1,072.43 and 252.64 is: 378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.91 : 1,072.43 = 252.64 : x
  2. Step 2: Convert to fraction form
    714.91/1,072.43 = 252.64/x
  3. Step 3: Cross multiply
    714.91x = 1,072.43 × 252.64
  4. Step 4: Simplify right side
    714.91x = 270,938.72
  5. Step 5: Solve for x
    x = 270,938.72/714.91
  6. Step 6: Final answer
    x = 378.98

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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.