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Finding the Fourth Proportional to 1,387.10, 1,910.31 and 1,200.80

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Solution

The fourth proportional to 1,387.10, 1,910.31 and 1,200.80 is: 1,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.10 : 1,910.31 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    1,387.10/1,910.31 = 1,200.80/x
  3. Step 3: Cross multiply
    1,387.10x = 1,910.31 × 1,200.80
  4. Step 4: Simplify right side
    1,387.10x = 2,293,900.25
  5. Step 5: Solve for x
    x = 2,293,900.25/1,387.10
  6. Step 6: Final answer
    x = 1,653.74

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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.