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Finding the Fourth Proportional to 503.18, 756.20 and 297.79

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Solution

The fourth proportional to 503.18, 756.20 and 297.79 is: 447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 756.20 = 297.79 : x
  2. Step 2: Convert to fraction form
    503.18/756.20 = 297.79/x
  3. Step 3: Cross multiply
    503.18x = 756.20 × 297.79
  4. Step 4: Simplify right side
    503.18x = 225,183.53
  5. Step 5: Solve for x
    x = 225,183.53/503.18
  6. Step 6: Final answer
    x = 447.52

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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.