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Finding the Fourth Proportional to 628.70, 867.22 and 392.84

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Solution

The fourth proportional to 628.70, 867.22 and 392.84 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.70 : 867.22 = 392.84 : x
  2. Step 2: Convert to fraction form
    628.70/867.22 = 392.84/x
  3. Step 3: Cross multiply
    628.70x = 867.22 × 392.84
  4. Step 4: Simplify right side
    628.70x = 340,678.70
  5. Step 5: Solve for x
    x = 340,678.70/628.70
  6. Step 6: Final answer
    x = 541.88

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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.