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Finding the Fourth Proportional to 628.59, 867.62 and 366.65

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Solution

The fourth proportional to 628.59, 867.62 and 366.65 is: 506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.59 : 867.62 = 366.65 : x
  2. Step 2: Convert to fraction form
    628.59/867.62 = 366.65/x
  3. Step 3: Cross multiply
    628.59x = 867.62 × 366.65
  4. Step 4: Simplify right side
    628.59x = 318,106.70
  5. Step 5: Solve for x
    x = 318,106.70/628.59
  6. Step 6: Final answer
    x = 506.06

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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.