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Finding the Fourth Proportional to 837.57, 1,256.36 and 289.71

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Solution

The fourth proportional to 837.57, 1,256.36 and 289.71 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.57 : 1,256.36 = 289.71 : x
  2. Step 2: Convert to fraction form
    837.57/1,256.36 = 289.71/x
  3. Step 3: Cross multiply
    837.57x = 1,256.36 × 289.71
  4. Step 4: Simplify right side
    837.57x = 363,978.61
  5. Step 5: Solve for x
    x = 363,978.61/837.57
  6. Step 6: Final answer
    x = 434.57

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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.