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Finding the Fourth Proportional to 1,480.50, 2,043.27 and 859.50

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Solution

The fourth proportional to 1,480.50, 2,043.27 and 859.50 is: 1,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.50 : 2,043.27 = 859.50 : x
  2. Step 2: Convert to fraction form
    1,480.50/2,043.27 = 859.50/x
  3. Step 3: Cross multiply
    1,480.50x = 2,043.27 × 859.50
  4. Step 4: Simplify right side
    1,480.50x = 1,756,190.57
  5. Step 5: Solve for x
    x = 1,756,190.57/1,480.50
  6. Step 6: Final answer
    x = 1,186.21

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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.