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Finding the Fourth Proportional to 487.80, 672.81 and 363.48

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Solution

The fourth proportional to 487.80, 672.81 and 363.48 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.80 : 672.81 = 363.48 : x
  2. Step 2: Convert to fraction form
    487.80/672.81 = 363.48/x
  3. Step 3: Cross multiply
    487.80x = 672.81 × 363.48
  4. Step 4: Simplify right side
    487.80x = 244,552.98
  5. Step 5: Solve for x
    x = 244,552.98/487.80
  6. Step 6: Final answer
    x = 501.34

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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.