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Finding the Fourth Proportional to 694.78, 958.78 and 400.21

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Solution

The fourth proportional to 694.78, 958.78 and 400.21 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 958.78 = 400.21 : x
  2. Step 2: Convert to fraction form
    694.78/958.78 = 400.21/x
  3. Step 3: Cross multiply
    694.78x = 958.78 × 400.21
  4. Step 4: Simplify right side
    694.78x = 383,713.34
  5. Step 5: Solve for x
    x = 383,713.34/694.78
  6. Step 6: Final answer
    x = 552.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.