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Finding the Fourth Proportional to 837.44, 1,256.64 and 563.68

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Solution

The fourth proportional to 837.44, 1,256.64 and 563.68 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,256.64 = 563.68 : x
  2. Step 2: Convert to fraction form
    837.44/1,256.64 = 563.68/x
  3. Step 3: Cross multiply
    837.44x = 1,256.64 × 563.68
  4. Step 4: Simplify right side
    837.44x = 708,342.84
  5. Step 5: Solve for x
    x = 708,342.84/837.44
  6. Step 6: Final answer
    x = 845.84

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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.