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Finding the Fourth Proportional to 503.29, 693.53 and 363.16

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Solution

The fourth proportional to 503.29, 693.53 and 363.16 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.29 : 693.53 = 363.16 : x
  2. Step 2: Convert to fraction form
    503.29/693.53 = 363.16/x
  3. Step 3: Cross multiply
    503.29x = 693.53 × 363.16
  4. Step 4: Simplify right side
    503.29x = 251,858.89
  5. Step 5: Solve for x
    x = 251,858.89/503.29
  6. Step 6: Final answer
    x = 500.43

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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.