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Finding the Fourth Proportional to 1,099.17, 1,516.93 and 706.12

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Solution

The fourth proportional to 1,099.17, 1,516.93 and 706.12 is: 974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.17 : 1,516.93 = 706.12 : x
  2. Step 2: Convert to fraction form
    1,099.17/1,516.93 = 706.12/x
  3. Step 3: Cross multiply
    1,099.17x = 1,516.93 × 706.12
  4. Step 4: Simplify right side
    1,099.17x = 1,071,129.05
  5. Step 5: Solve for x
    x = 1,071,129.05/1,099.17
  6. Step 6: Final answer
    x = 974.49

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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.