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Finding the Fourth Proportional to 1,369.96, 2,050.36 and 744.40

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Solution

The fourth proportional to 1,369.96, 2,050.36 and 744.40 is: 1,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.96 : 2,050.36 = 744.40 : x
  2. Step 2: Convert to fraction form
    1,369.96/2,050.36 = 744.40/x
  3. Step 3: Cross multiply
    1,369.96x = 2,050.36 × 744.40
  4. Step 4: Simplify right side
    1,369.96x = 1,526,287.98
  5. Step 5: Solve for x
    x = 1,526,287.98/1,369.96
  6. Step 6: Final answer
    x = 1,114.11

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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.