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Finding the Fourth Proportional to 474.49, 653.77 and 363.62

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Solution

The fourth proportional to 474.49, 653.77 and 363.62 is: 501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.49 : 653.77 = 363.62 : x
  2. Step 2: Convert to fraction form
    474.49/653.77 = 363.62/x
  3. Step 3: Cross multiply
    474.49x = 653.77 × 363.62
  4. Step 4: Simplify right side
    474.49x = 237,725.94
  5. Step 5: Solve for x
    x = 237,725.94/474.49
  6. Step 6: Final answer
    x = 501.01

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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.