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Finding the Fourth Proportional to 628.06, 866.96 and 379.40

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Solution

The fourth proportional to 628.06, 866.96 and 379.40 is: 523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.06 : 866.96 = 379.40 : x
  2. Step 2: Convert to fraction form
    628.06/866.96 = 379.40/x
  3. Step 3: Cross multiply
    628.06x = 866.96 × 379.40
  4. Step 4: Simplify right side
    628.06x = 328,924.62
  5. Step 5: Solve for x
    x = 328,924.62/628.06
  6. Step 6: Final answer
    x = 523.72

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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.