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Finding the Fourth Proportional to 837.39, 1,256.21 and 289.47

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Solution

The fourth proportional to 837.39, 1,256.21 and 289.47 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.39 : 1,256.21 = 289.47 : x
  2. Step 2: Convert to fraction form
    837.39/1,256.21 = 289.47/x
  3. Step 3: Cross multiply
    837.39x = 1,256.21 × 289.47
  4. Step 4: Simplify right side
    837.39x = 363,633.66
  5. Step 5: Solve for x
    x = 363,633.66/837.39
  6. Step 6: Final answer
    x = 434.25

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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.