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Finding the Fourth Proportional to 696.23, 965.19 and 659.24

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Solution

The fourth proportional to 696.23, 965.19 and 659.24 is: 913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.23 : 965.19 = 659.24 : x
  2. Step 2: Convert to fraction form
    696.23/965.19 = 659.24/x
  3. Step 3: Cross multiply
    696.23x = 965.19 × 659.24
  4. Step 4: Simplify right side
    696.23x = 636,291.86
  5. Step 5: Solve for x
    x = 636,291.86/696.23
  6. Step 6: Final answer
    x = 913.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.