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Finding the Fourth Proportional to 1,136.80, 1,702.80 and 944.80

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Solution

The fourth proportional to 1,136.80, 1,702.80 and 944.80 is: 1,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.80 : 1,702.80 = 944.80 : x
  2. Step 2: Convert to fraction form
    1,136.80/1,702.80 = 944.80/x
  3. Step 3: Cross multiply
    1,136.80x = 1,702.80 × 944.80
  4. Step 4: Simplify right side
    1,136.80x = 1,608,805.44
  5. Step 5: Solve for x
    x = 1,608,805.44/1,136.80
  6. Step 6: Final answer
    x = 1,415.21

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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.