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Finding the Fourth Proportional to 694.86, 958.86 and 380.10

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Solution

The fourth proportional to 694.86, 958.86 and 380.10 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 958.86 = 380.10 : x
  2. Step 2: Convert to fraction form
    694.86/958.86 = 380.10/x
  3. Step 3: Cross multiply
    694.86x = 958.86 × 380.10
  4. Step 4: Simplify right side
    694.86x = 364,462.69
  5. Step 5: Solve for x
    x = 364,462.69/694.86
  6. Step 6: Final answer
    x = 524.51

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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.