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Finding the Fourth Proportional to 1,136.74, 1,703.94 and 443.13

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Solution

The fourth proportional to 1,136.74, 1,703.94 and 443.13 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.74 : 1,703.94 = 443.13 : x
  2. Step 2: Convert to fraction form
    1,136.74/1,703.94 = 443.13/x
  3. Step 3: Cross multiply
    1,136.74x = 1,703.94 × 443.13
  4. Step 4: Simplify right side
    1,136.74x = 755,066.93
  5. Step 5: Solve for x
    x = 755,066.93/1,136.74
  6. Step 6: Final answer
    x = 664.24

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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.