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Finding the Fourth Proportional to 628.80, 867.63 and 363.18

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Solution

The fourth proportional to 628.80, 867.63 and 363.18 is: 501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.80 : 867.63 = 363.18 : x
  2. Step 2: Convert to fraction form
    628.80/867.63 = 363.18/x
  3. Step 3: Cross multiply
    628.80x = 867.63 × 363.18
  4. Step 4: Simplify right side
    628.80x = 315,105.86
  5. Step 5: Solve for x
    x = 315,105.86/628.80
  6. Step 6: Final answer
    x = 501.12

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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.