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Finding the Fourth Proportional to 837.60, 1,257.60 and 514.44

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Solution

The fourth proportional to 837.60, 1,257.60 and 514.44 is: 772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.60 : 1,257.60 = 514.44 : x
  2. Step 2: Convert to fraction form
    837.60/1,257.60 = 514.44/x
  3. Step 3: Cross multiply
    837.60x = 1,257.60 × 514.44
  4. Step 4: Simplify right side
    837.60x = 646,959.74
  5. Step 5: Solve for x
    x = 646,959.74/837.60
  6. Step 6: Final answer
    x = 772.40

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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.