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Finding the Fourth Proportional to 695.50, 959.64 and 400.72

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Solution

The fourth proportional to 695.50, 959.64 and 400.72 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.50 : 959.64 = 400.72 : x
  2. Step 2: Convert to fraction form
    695.50/959.64 = 400.72/x
  3. Step 3: Cross multiply
    695.50x = 959.64 × 400.72
  4. Step 4: Simplify right side
    695.50x = 384,546.94
  5. Step 5: Solve for x
    x = 384,546.94/695.50
  6. Step 6: Final answer
    x = 552.91

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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.