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Finding the Fourth Proportional to 696.74, 961.34 and 604.19

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Solution

The fourth proportional to 696.74, 961.34 and 604.19 is: 833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.74 : 961.34 = 604.19 : x
  2. Step 2: Convert to fraction form
    696.74/961.34 = 604.19/x
  3. Step 3: Cross multiply
    696.74x = 961.34 × 604.19
  4. Step 4: Simplify right side
    696.74x = 580,831.40
  5. Step 5: Solve for x
    x = 580,831.40/696.74
  6. Step 6: Final answer
    x = 833.65

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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.