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Finding the Fourth Proportional to 1,450.70, 2,172.36 and 800.72

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Solution

The fourth proportional to 1,450.70, 2,172.36 and 800.72 is: 1,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.70 : 2,172.36 = 800.72 : x
  2. Step 2: Convert to fraction form
    1,450.70/2,172.36 = 800.72/x
  3. Step 3: Cross multiply
    1,450.70x = 2,172.36 × 800.72
  4. Step 4: Simplify right side
    1,450.70x = 1,739,452.10
  5. Step 5: Solve for x
    x = 1,739,452.10/1,450.70
  6. Step 6: Final answer
    x = 1,199.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.