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Finding the Fourth Proportional to 838.37, 1,255.73 and 665.24

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Solution

The fourth proportional to 838.37, 1,255.73 and 665.24 is: 996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,255.73 = 665.24 : x
  2. Step 2: Convert to fraction form
    838.37/1,255.73 = 665.24/x
  3. Step 3: Cross multiply
    838.37x = 1,255.73 × 665.24
  4. Step 4: Simplify right side
    838.37x = 835,358.50
  5. Step 5: Solve for x
    x = 835,358.50/838.37
  6. Step 6: Final answer
    x = 996.41

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Double scale
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1.5x scale

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.