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Finding the Fourth Proportional to 503.96, 757.38 and 247.64

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Solution

The fourth proportional to 503.96, 757.38 and 247.64 is: 372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.96 : 757.38 = 247.64 : x
  2. Step 2: Convert to fraction form
    503.96/757.38 = 247.64/x
  3. Step 3: Cross multiply
    503.96x = 757.38 × 247.64
  4. Step 4: Simplify right side
    503.96x = 187,557.58
  5. Step 5: Solve for x
    x = 187,557.58/503.96
  6. Step 6: Final answer
    x = 372.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.