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Finding the Fourth Proportional to 1,136.67, 1,704.99 and 551.57

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Solution

The fourth proportional to 1,136.67, 1,704.99 and 551.57 is: 827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.67 : 1,704.99 = 551.57 : x
  2. Step 2: Convert to fraction form
    1,136.67/1,704.99 = 551.57/x
  3. Step 3: Cross multiply
    1,136.67x = 1,704.99 × 551.57
  4. Step 4: Simplify right side
    1,136.67x = 940,422.99
  5. Step 5: Solve for x
    x = 940,422.99/1,136.67
  6. Step 6: Final answer
    x = 827.35

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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.