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Finding the Fourth Proportional to 486.14, 727.63 and 303.70

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Solution

The fourth proportional to 486.14, 727.63 and 303.70 is: 454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 727.63 = 303.70 : x
  2. Step 2: Convert to fraction form
    486.14/727.63 = 303.70/x
  3. Step 3: Cross multiply
    486.14x = 727.63 × 303.70
  4. Step 4: Simplify right side
    486.14x = 220,981.23
  5. Step 5: Solve for x
    x = 220,981.23/486.14
  6. Step 6: Final answer
    x = 454.56

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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.