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Finding the Fourth Proportional to 1,629.67, 2,442.75 and 806.17

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Solution

The fourth proportional to 1,629.67, 2,442.75 and 806.17 is: 1,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.67 : 2,442.75 = 806.17 : x
  2. Step 2: Convert to fraction form
    1,629.67/2,442.75 = 806.17/x
  3. Step 3: Cross multiply
    1,629.67x = 2,442.75 × 806.17
  4. Step 4: Simplify right side
    1,629.67x = 1,969,271.77
  5. Step 5: Solve for x
    x = 1,969,271.77/1,629.67
  6. Step 6: Final answer
    x = 1,208.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.