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Finding the Fourth Proportional to 1,704.77, 2,350.25 and 1,280.01

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Solution

The fourth proportional to 1,704.77, 2,350.25 and 1,280.01 is: 1,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.77 : 2,350.25 = 1,280.01 : x
  2. Step 2: Convert to fraction form
    1,704.77/2,350.25 = 1,280.01/x
  3. Step 3: Cross multiply
    1,704.77x = 2,350.25 × 1,280.01
  4. Step 4: Simplify right side
    1,704.77x = 3,008,337.10
  5. Step 5: Solve for x
    x = 3,008,337.10/1,704.77
  6. Step 6: Final answer
    x = 1,764.66

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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.