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Finding the Fourth Proportional to 837.44, 1,256.96 and 615.36

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Solution

The fourth proportional to 837.44, 1,256.96 and 615.36 is: 923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,256.96 = 615.36 : x
  2. Step 2: Convert to fraction form
    837.44/1,256.96 = 615.36/x
  3. Step 3: Cross multiply
    837.44x = 1,256.96 × 615.36
  4. Step 4: Simplify right side
    837.44x = 773,482.91
  5. Step 5: Solve for x
    x = 773,482.91/837.44
  6. Step 6: Final answer
    x = 923.63

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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.