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Finding the Fourth Proportional to 1,136.70, 1,706.22 and 704.88

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Solution

The fourth proportional to 1,136.70, 1,706.22 and 704.88 is: 1,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.70 : 1,706.22 = 704.88 : x
  2. Step 2: Convert to fraction form
    1,136.70/1,706.22 = 704.88/x
  3. Step 3: Cross multiply
    1,136.70x = 1,706.22 × 704.88
  4. Step 4: Simplify right side
    1,136.70x = 1,202,680.35
  5. Step 5: Solve for x
    x = 1,202,680.35/1,136.70
  6. Step 6: Final answer
    x = 1,058.05

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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.