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Finding the Fourth Proportional to 1,350.60, 2,023.20 and 801.18

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Solution

The fourth proportional to 1,350.60, 2,023.20 and 801.18 is: 1,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.60 : 2,023.20 = 801.18 : x
  2. Step 2: Convert to fraction form
    1,350.60/2,023.20 = 801.18/x
  3. Step 3: Cross multiply
    1,350.60x = 2,023.20 × 801.18
  4. Step 4: Simplify right side
    1,350.60x = 1,620,947.38
  5. Step 5: Solve for x
    x = 1,620,947.38/1,350.60
  6. Step 6: Final answer
    x = 1,200.17

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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.