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Finding the Fourth Proportional to 837.57, 1,254.51 and 820.95

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Solution

The fourth proportional to 837.57, 1,254.51 and 820.95 is: 1,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.57 : 1,254.51 = 820.95 : x
  2. Step 2: Convert to fraction form
    837.57/1,254.51 = 820.95/x
  3. Step 3: Cross multiply
    837.57x = 1,254.51 × 820.95
  4. Step 4: Simplify right side
    837.57x = 1,029,889.98
  5. Step 5: Solve for x
    x = 1,029,889.98/837.57
  6. Step 6: Final answer
    x = 1,229.62

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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.