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Finding the Fourth Proportional to 1,136.57, 1,696.56 and 998.17

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Solution

The fourth proportional to 1,136.57, 1,696.56 and 998.17 is: 1,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.57 : 1,696.56 = 998.17 : x
  2. Step 2: Convert to fraction form
    1,136.57/1,696.56 = 998.17/x
  3. Step 3: Cross multiply
    1,136.57x = 1,696.56 × 998.17
  4. Step 4: Simplify right side
    1,136.57x = 1,693,453.67
  5. Step 5: Solve for x
    x = 1,693,453.67/1,136.57
  6. Step 6: Final answer
    x = 1,489.98

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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.