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Finding the Fourth Proportional to 695.40, 959.31 and 459.76

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Solution

The fourth proportional to 695.40, 959.31 and 459.76 is: 634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.40 : 959.31 = 459.76 : x
  2. Step 2: Convert to fraction form
    695.40/959.31 = 459.76/x
  3. Step 3: Cross multiply
    695.40x = 959.31 × 459.76
  4. Step 4: Simplify right side
    695.40x = 441,052.37
  5. Step 5: Solve for x
    x = 441,052.37/695.40
  6. Step 6: Final answer
    x = 634.24

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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.