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Finding the Fourth Proportional to 694.90, 959.06 and 400.16

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Solution

The fourth proportional to 694.90, 959.06 and 400.16 is: 552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.90 : 959.06 = 400.16 : x
  2. Step 2: Convert to fraction form
    694.90/959.06 = 400.16/x
  3. Step 3: Cross multiply
    694.90x = 959.06 × 400.16
  4. Step 4: Simplify right side
    694.90x = 383,777.45
  5. Step 5: Solve for x
    x = 383,777.45/694.90
  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.