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Finding the Fourth Proportional to 462.02, 637.80 and 363.56

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Solution

The fourth proportional to 462.02, 637.80 and 363.56 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.02 : 637.80 = 363.56 : x
  2. Step 2: Convert to fraction form
    462.02/637.80 = 363.56/x
  3. Step 3: Cross multiply
    462.02x = 637.80 × 363.56
  4. Step 4: Simplify right side
    462.02x = 231,878.57
  5. Step 5: Solve for x
    x = 231,878.57/462.02
  6. Step 6: Final answer
    x = 501.88

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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.