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Finding the Fourth Proportional to 694.46, 958.32 and 498.30

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Solution

The fourth proportional to 694.46, 958.32 and 498.30 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 958.32 = 498.30 : x
  2. Step 2: Convert to fraction form
    694.46/958.32 = 498.30/x
  3. Step 3: Cross multiply
    694.46x = 958.32 × 498.30
  4. Step 4: Simplify right side
    694.46x = 477,530.86
  5. Step 5: Solve for x
    x = 477,530.86/694.46
  6. Step 6: Final answer
    x = 687.63

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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.