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Finding the Fourth Proportional to 837.46, 1,255.99 and 317.52

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Solution

The fourth proportional to 837.46, 1,255.99 and 317.52 is: 476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.46 : 1,255.99 = 317.52 : x
  2. Step 2: Convert to fraction form
    837.46/1,255.99 = 317.52/x
  3. Step 3: Cross multiply
    837.46x = 1,255.99 × 317.52
  4. Step 4: Simplify right side
    837.46x = 398,801.94
  5. Step 5: Solve for x
    x = 398,801.94/837.46
  6. Step 6: Final answer
    x = 476.20

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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.