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Finding the Fourth Proportional to 736.44, 1,098.62 and 719.70

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Solution

The fourth proportional to 736.44, 1,098.62 and 719.70 is: 1,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.44 : 1,098.62 = 719.70 : x
  2. Step 2: Convert to fraction form
    736.44/1,098.62 = 719.70/x
  3. Step 3: Cross multiply
    736.44x = 1,098.62 × 719.70
  4. Step 4: Simplify right side
    736.44x = 790,673.22
  5. Step 5: Solve for x
    x = 790,673.22/736.44
  6. Step 6: Final answer
    x = 1,073.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.