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Finding the Fourth Proportional to 695.31, 959.54 and 400.61

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Solution

The fourth proportional to 695.31, 959.54 and 400.61 is: 552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.31 : 959.54 = 400.61 : x
  2. Step 2: Convert to fraction form
    695.31/959.54 = 400.61/x
  3. Step 3: Cross multiply
    695.31x = 959.54 × 400.61
  4. Step 4: Simplify right side
    695.31x = 384,394.52
  5. Step 5: Solve for x
    x = 384,394.52/695.31
  6. Step 6: Final answer
    x = 552.84

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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.