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Finding the Fourth Proportional to 837.97, 1,257.18 and 317.99

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Solution

The fourth proportional to 837.97, 1,257.18 and 317.99 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.97 : 1,257.18 = 317.99 : x
  2. Step 2: Convert to fraction form
    837.97/1,257.18 = 317.99/x
  3. Step 3: Cross multiply
    837.97x = 1,257.18 × 317.99
  4. Step 4: Simplify right side
    837.97x = 399,764.67
  5. Step 5: Solve for x
    x = 399,764.67/837.97
  6. Step 6: Final answer
    x = 477.06

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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.