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Finding the Fourth Proportional to 736.70, 1,099.64 and 688.06

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Solution

The fourth proportional to 736.70, 1,099.64 and 688.06 is: 1,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.70 : 1,099.64 = 688.06 : x
  2. Step 2: Convert to fraction form
    736.70/1,099.64 = 688.06/x
  3. Step 3: Cross multiply
    736.70x = 1,099.64 × 688.06
  4. Step 4: Simplify right side
    736.70x = 756,618.30
  5. Step 5: Solve for x
    x = 756,618.30/736.70
  6. Step 6: Final answer
    x = 1,027.04

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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.