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Finding the Fourth Proportional to 694.96, 959.01 and 432.97

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Solution

The fourth proportional to 694.96, 959.01 and 432.97 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 959.01 = 432.97 : x
  2. Step 2: Convert to fraction form
    694.96/959.01 = 432.97/x
  3. Step 3: Cross multiply
    694.96x = 959.01 × 432.97
  4. Step 4: Simplify right side
    694.96x = 415,222.56
  5. Step 5: Solve for x
    x = 415,222.56/694.96
  6. Step 6: Final answer
    x = 597.48

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1.5x scale

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.