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Finding the Fourth Proportional to 628.63, 867.62 and 366.79

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Solution

The fourth proportional to 628.63, 867.62 and 366.79 is: 506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.63 : 867.62 = 366.79 : x
  2. Step 2: Convert to fraction form
    628.63/867.62 = 366.79/x
  3. Step 3: Cross multiply
    628.63x = 867.62 × 366.79
  4. Step 4: Simplify right side
    628.63x = 318,234.34
  5. Step 5: Solve for x
    x = 318,234.34/628.63
  6. Step 6: Final answer
    x = 506.23

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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.