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Finding the Fourth Proportional to 1,075.56, 1,483.02 and 997.80

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Solution

The fourth proportional to 1,075.56, 1,483.02 and 997.80 is: 1,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.56 : 1,483.02 = 997.80 : x
  2. Step 2: Convert to fraction form
    1,075.56/1,483.02 = 997.80/x
  3. Step 3: Cross multiply
    1,075.56x = 1,483.02 × 997.80
  4. Step 4: Simplify right side
    1,075.56x = 1,479,757.36
  5. Step 5: Solve for x
    x = 1,479,757.36/1,075.56
  6. Step 6: Final answer
    x = 1,375.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.