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Finding the Fourth Proportional to 694.78, 1,042.44 and 256.12

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Solution

The fourth proportional to 694.78, 1,042.44 and 256.12 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 1,042.44 = 256.12 : x
  2. Step 2: Convert to fraction form
    694.78/1,042.44 = 256.12/x
  3. Step 3: Cross multiply
    694.78x = 1,042.44 × 256.12
  4. Step 4: Simplify right side
    694.78x = 266,989.73
  5. Step 5: Solve for x
    x = 266,989.73/694.78
  6. Step 6: Final answer
    x = 384.28

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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.