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Finding the Fourth Proportional to 694.40, 958.33 and 432.46

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Solution

The fourth proportional to 694.40, 958.33 and 432.46 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.40 : 958.33 = 432.46 : x
  2. Step 2: Convert to fraction form
    694.40/958.33 = 432.46/x
  3. Step 3: Cross multiply
    694.40x = 958.33 × 432.46
  4. Step 4: Simplify right side
    694.40x = 414,437.54
  5. Step 5: Solve for x
    x = 414,437.54/694.40
  6. Step 6: Final answer
    x = 596.83

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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.