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Finding the Fourth Proportional to 837.43, 1,256.15 and 317.43

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Solution

The fourth proportional to 837.43, 1,256.15 and 317.43 is: 476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.43 : 1,256.15 = 317.43 : x
  2. Step 2: Convert to fraction form
    837.43/1,256.15 = 317.43/x
  3. Step 3: Cross multiply
    837.43x = 1,256.15 × 317.43
  4. Step 4: Simplify right side
    837.43x = 398,740.49
  5. Step 5: Solve for x
    x = 398,740.49/837.43
  6. Step 6: Final answer
    x = 476.15

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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.