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Finding the Fourth Proportional to 1,099.60, 1,516.74 and 837.16

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Solution

The fourth proportional to 1,099.60, 1,516.74 and 837.16 is: 1,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,516.74 = 837.16 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,516.74 = 837.16/x
  3. Step 3: Cross multiply
    1,099.60x = 1,516.74 × 837.16
  4. Step 4: Simplify right side
    1,099.60x = 1,269,754.06
  5. Step 5: Solve for x
    x = 1,269,754.06/1,099.60
  6. Step 6: Final answer
    x = 1,154.74

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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.