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Finding the Fourth Proportional to 736.28, 1,106.72 and 680.91

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Solution

The fourth proportional to 736.28, 1,106.72 and 680.91 is: 1,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.28 : 1,106.72 = 680.91 : x
  2. Step 2: Convert to fraction form
    736.28/1,106.72 = 680.91/x
  3. Step 3: Cross multiply
    736.28x = 1,106.72 × 680.91
  4. Step 4: Simplify right side
    736.28x = 753,573.31
  5. Step 5: Solve for x
    x = 753,573.31/736.28
  6. Step 6: Final answer
    x = 1,023.49

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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.