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Finding the Fourth Proportional to 1,083.47, 1,623.36 and 736.28

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Solution

The fourth proportional to 1,083.47, 1,623.36 and 736.28 is: 1,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.47 : 1,623.36 = 736.28 : x
  2. Step 2: Convert to fraction form
    1,083.47/1,623.36 = 736.28/x
  3. Step 3: Cross multiply
    1,083.47x = 1,623.36 × 736.28
  4. Step 4: Simplify right side
    1,083.47x = 1,195,239.38
  5. Step 5: Solve for x
    x = 1,195,239.38/1,083.47
  6. Step 6: Final answer
    x = 1,103.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.