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Finding the Fourth Proportional to 837.59, 1,256.42 and 289.78

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Solution

The fourth proportional to 837.59, 1,256.42 and 289.78 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.59 : 1,256.42 = 289.78 : x
  2. Step 2: Convert to fraction form
    837.59/1,256.42 = 289.78/x
  3. Step 3: Cross multiply
    837.59x = 1,256.42 × 289.78
  4. Step 4: Simplify right side
    837.59x = 364,085.39
  5. Step 5: Solve for x
    x = 364,085.39/837.59
  6. Step 6: Final answer
    x = 434.68

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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.