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Finding the Fourth Proportional to 628.80, 867.68 and 366.80

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Solution

The fourth proportional to 628.80, 867.68 and 366.80 is: 506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.80 : 867.68 = 366.80 : x
  2. Step 2: Convert to fraction form
    628.80/867.68 = 366.80/x
  3. Step 3: Cross multiply
    628.80x = 867.68 × 366.80
  4. Step 4: Simplify right side
    628.80x = 318,265.02
  5. Step 5: Solve for x
    x = 318,265.02/628.80
  6. Step 6: Final answer
    x = 506.15

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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.