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Finding the Fourth Proportional to 628.85, 867.83 and 380.12

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Solution

The fourth proportional to 628.85, 867.83 and 380.12 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.85 : 867.83 = 380.12 : x
  2. Step 2: Convert to fraction form
    628.85/867.83 = 380.12/x
  3. Step 3: Cross multiply
    628.85x = 867.83 × 380.12
  4. Step 4: Simplify right side
    628.85x = 329,874.25
  5. Step 5: Solve for x
    x = 329,874.25/628.85
  6. Step 6: Final answer
    x = 524.57

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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.