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Finding the Fourth Proportional to 694.83, 959.03 and 400.27

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Solution

The fourth proportional to 694.83, 959.03 and 400.27 is: 552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.83 : 959.03 = 400.27 : x
  2. Step 2: Convert to fraction form
    694.83/959.03 = 400.27/x
  3. Step 3: Cross multiply
    694.83x = 959.03 × 400.27
  4. Step 4: Simplify right side
    694.83x = 383,869.11
  5. Step 5: Solve for x
    x = 383,869.11/694.83
  6. Step 6: Final answer
    x = 552.47

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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.