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Finding the Fourth Proportional to 1,136.34, 1,696.19 and 1,055.03

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Solution

The fourth proportional to 1,136.34, 1,696.19 and 1,055.03 is: 1,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.34 : 1,696.19 = 1,055.03 : x
  2. Step 2: Convert to fraction form
    1,136.34/1,696.19 = 1,055.03/x
  3. Step 3: Cross multiply
    1,136.34x = 1,696.19 × 1,055.03
  4. Step 4: Simplify right side
    1,136.34x = 1,789,517.58
  5. Step 5: Solve for x
    x = 1,789,517.58/1,136.34
  6. Step 6: Final answer
    x = 1,574.81

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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.