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Finding the Fourth Proportional to 694.31, 958.16 and 432.48

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Solution

The fourth proportional to 694.31, 958.16 and 432.48 is: 596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 958.16 = 432.48 : x
  2. Step 2: Convert to fraction form
    694.31/958.16 = 432.48/x
  3. Step 3: Cross multiply
    694.31x = 958.16 × 432.48
  4. Step 4: Simplify right side
    694.31x = 414,382.87
  5. Step 5: Solve for x
    x = 414,382.87/694.31
  6. Step 6: Final answer
    x = 596.82

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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.