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Finding the Fourth Proportional to 694.84, 958.84 and 380.10

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Solution

The fourth proportional to 694.84, 958.84 and 380.10 is: 524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.84 : 958.84 = 380.10 : x
  2. Step 2: Convert to fraction form
    694.84/958.84 = 380.10/x
  3. Step 3: Cross multiply
    694.84x = 958.84 × 380.10
  4. Step 4: Simplify right side
    694.84x = 364,455.08
  5. Step 5: Solve for x
    x = 364,455.08/694.84
  6. Step 6: Final answer
    x = 524.52

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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.