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Finding the Fourth Proportional to 695.22, 959.38 and 400.49

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Solution

The fourth proportional to 695.22, 959.38 and 400.49 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.22 : 959.38 = 400.49 : x
  2. Step 2: Convert to fraction form
    695.22/959.38 = 400.49/x
  3. Step 3: Cross multiply
    695.22x = 959.38 × 400.49
  4. Step 4: Simplify right side
    695.22x = 384,222.10
  5. Step 5: Solve for x
    x = 384,222.10/695.22
  6. Step 6: Final answer
    x = 552.66

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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.