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Finding the Fourth Proportional to 2,659.30, 3,989.80 and 810.77

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Solution

The fourth proportional to 2,659.30, 3,989.80 and 810.77 is: 1,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.30 : 3,989.80 = 810.77 : x
  2. Step 2: Convert to fraction form
    2,659.30/3,989.80 = 810.77/x
  3. Step 3: Cross multiply
    2,659.30x = 3,989.80 × 810.77
  4. Step 4: Simplify right side
    2,659.30x = 3,234,810.15
  5. Step 5: Solve for x
    x = 3,234,810.15/2,659.30
  6. Step 6: Final answer
    x = 1,216.41

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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.