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Finding the Fourth Proportional to 746.68, 1,120.24 and 336.16

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Solution

The fourth proportional to 746.68, 1,120.24 and 336.16 is: 504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,120.24 = 336.16 : x
  2. Step 2: Convert to fraction form
    746.68/1,120.24 = 336.16/x
  3. Step 3: Cross multiply
    746.68x = 1,120.24 × 336.16
  4. Step 4: Simplify right side
    746.68x = 376,579.88
  5. Step 5: Solve for x
    x = 376,579.88/746.68
  6. Step 6: Final answer
    x = 504.34

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Double scale
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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.