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Finding the Fourth Proportional to 1,099.47, 1,516.85 and 721.57

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Solution

The fourth proportional to 1,099.47, 1,516.85 and 721.57 is: 995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.47 : 1,516.85 = 721.57 : x
  2. Step 2: Convert to fraction form
    1,099.47/1,516.85 = 721.57/x
  3. Step 3: Cross multiply
    1,099.47x = 1,516.85 × 721.57
  4. Step 4: Simplify right side
    1,099.47x = 1,094,504.07
  5. Step 5: Solve for x
    x = 1,094,504.07/1,099.47
  6. Step 6: Final answer
    x = 995.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.