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Finding the Fourth Proportional to 628.41, 867.41 and 366.65

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Solution

The fourth proportional to 628.41, 867.41 and 366.65 is: 506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.41 : 867.41 = 366.65 : x
  2. Step 2: Convert to fraction form
    628.41/867.41 = 366.65/x
  3. Step 3: Cross multiply
    628.41x = 867.41 × 366.65
  4. Step 4: Simplify right side
    628.41x = 318,029.71
  5. Step 5: Solve for x
    x = 318,029.71/628.41
  6. Step 6: Final answer
    x = 506.09

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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.