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Finding the Fourth Proportional to 837.74, 1,256.28 and 289.76

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Solution

The fourth proportional to 837.74, 1,256.28 and 289.76 is: 434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.74 : 1,256.28 = 289.76 : x
  2. Step 2: Convert to fraction form
    837.74/1,256.28 = 289.76/x
  3. Step 3: Cross multiply
    837.74x = 1,256.28 × 289.76
  4. Step 4: Simplify right side
    837.74x = 364,019.69
  5. Step 5: Solve for x
    x = 364,019.69/837.74
  6. Step 6: Final answer
    x = 434.53

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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.