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Finding the Fourth Proportional to 695.69, 959.66 and 496.57

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Solution

The fourth proportional to 695.69, 959.66 and 496.57 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.69 : 959.66 = 496.57 : x
  2. Step 2: Convert to fraction form
    695.69/959.66 = 496.57/x
  3. Step 3: Cross multiply
    695.69x = 959.66 × 496.57
  4. Step 4: Simplify right side
    695.69x = 476,535.35
  5. Step 5: Solve for x
    x = 476,535.35/695.69
  6. Step 6: Final answer
    x = 684.98

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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.