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Finding the Fourth Proportional to 628.42, 867.02 and 379.66

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Solution

The fourth proportional to 628.42, 867.02 and 379.66 is: 523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.42 : 867.02 = 379.66 : x
  2. Step 2: Convert to fraction form
    628.42/867.02 = 379.66/x
  3. Step 3: Cross multiply
    628.42x = 867.02 × 379.66
  4. Step 4: Simplify right side
    628.42x = 329,172.81
  5. Step 5: Solve for x
    x = 329,172.81/628.42
  6. Step 6: Final answer
    x = 523.81

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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.