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Finding the Fourth Proportional to 503.75, 756.26 and 298.46

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Solution

The fourth proportional to 503.75, 756.26 and 298.46 is: 448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.75 : 756.26 = 298.46 : x
  2. Step 2: Convert to fraction form
    503.75/756.26 = 298.46/x
  3. Step 3: Cross multiply
    503.75x = 756.26 × 298.46
  4. Step 4: Simplify right side
    503.75x = 225,713.36
  5. Step 5: Solve for x
    x = 225,713.36/503.75
  6. Step 6: Final answer
    x = 448.07

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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.