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Finding the Fourth Proportional to 1,100.94, 1,650.06 and 857.10

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Solution

The fourth proportional to 1,100.94, 1,650.06 and 857.10 is: 1,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.94 : 1,650.06 = 857.10 : x
  2. Step 2: Convert to fraction form
    1,100.94/1,650.06 = 857.10/x
  3. Step 3: Cross multiply
    1,100.94x = 1,650.06 × 857.10
  4. Step 4: Simplify right side
    1,100.94x = 1,414,266.43
  5. Step 5: Solve for x
    x = 1,414,266.43/1,100.94
  6. Step 6: Final answer
    x = 1,284.60

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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.