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Finding the Fourth Proportional to 476.87, 657.83 and 310.80

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Solution

The fourth proportional to 476.87, 657.83 and 310.80 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 657.83 = 310.80 : x
  2. Step 2: Convert to fraction form
    476.87/657.83 = 310.80/x
  3. Step 3: Cross multiply
    476.87x = 657.83 × 310.80
  4. Step 4: Simplify right side
    476.87x = 204,451.36
  5. Step 5: Solve for x
    x = 204,451.36/476.87
  6. Step 6: Final answer
    x = 428.73

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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.