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Finding the Fourth Proportional to 695.42, 959.64 and 400.66

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Solution

The fourth proportional to 695.42, 959.64 and 400.66 is: 552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 959.64 = 400.66 : x
  2. Step 2: Convert to fraction form
    695.42/959.64 = 400.66/x
  3. Step 3: Cross multiply
    695.42x = 959.64 × 400.66
  4. Step 4: Simplify right side
    695.42x = 384,489.36
  5. Step 5: Solve for x
    x = 384,489.36/695.42
  6. Step 6: Final answer
    x = 552.89

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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.