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Finding the Fourth Proportional to 1,705.20, 2,353.20 and 1,144.80

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Solution

The fourth proportional to 1,705.20, 2,353.20 and 1,144.80 is: 1,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,353.20 = 1,144.80 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,353.20 = 1,144.80/x
  3. Step 3: Cross multiply
    1,705.20x = 2,353.20 × 1,144.80
  4. Step 4: Simplify right side
    1,705.20x = 2,693,943.36
  5. Step 5: Solve for x
    x = 2,693,943.36/1,705.20
  6. Step 6: Final answer
    x = 1,579.84

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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.