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Finding the Fourth Proportional to 1,720.45, 2,369.83 and 1,454.59

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Solution

The fourth proportional to 1,720.45, 2,369.83 and 1,454.59 is: 2,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.45 : 2,369.83 = 1,454.59 : x
  2. Step 2: Convert to fraction form
    1,720.45/2,369.83 = 1,454.59/x
  3. Step 3: Cross multiply
    1,720.45x = 2,369.83 × 1,454.59
  4. Step 4: Simplify right side
    1,720.45x = 3,447,131.02
  5. Step 5: Solve for x
    x = 3,447,131.02/1,720.45
  6. Step 6: Final answer
    x = 2,003.62

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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.