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Finding the Fourth Proportional to 837.70, 1,255.83 and 490.18

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Solution

The fourth proportional to 837.70, 1,255.83 and 490.18 is: 734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,255.83 = 490.18 : x
  2. Step 2: Convert to fraction form
    837.70/1,255.83 = 490.18/x
  3. Step 3: Cross multiply
    837.70x = 1,255.83 × 490.18
  4. Step 4: Simplify right side
    837.70x = 615,582.75
  5. Step 5: Solve for x
    x = 615,582.75/837.70
  6. Step 6: Final answer
    x = 734.85

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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.