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Finding the Fourth Proportional to 837.85, 1,256.73 and 260.71

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Solution

The fourth proportional to 837.85, 1,256.73 and 260.71 is: 391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.85 : 1,256.73 = 260.71 : x
  2. Step 2: Convert to fraction form
    837.85/1,256.73 = 260.71/x
  3. Step 3: Cross multiply
    837.85x = 1,256.73 × 260.71
  4. Step 4: Simplify right side
    837.85x = 327,642.08
  5. Step 5: Solve for x
    x = 327,642.08/837.85
  6. Step 6: Final answer
    x = 391.05

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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.