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Finding the Fourth Proportional to 1,679.44, 2,518.86 and 896.98

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Solution

The fourth proportional to 1,679.44, 2,518.86 and 896.98 is: 1,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.44 : 2,518.86 = 896.98 : x
  2. Step 2: Convert to fraction form
    1,679.44/2,518.86 = 896.98/x
  3. Step 3: Cross multiply
    1,679.44x = 2,518.86 × 896.98
  4. Step 4: Simplify right side
    1,679.44x = 2,259,367.04
  5. Step 5: Solve for x
    x = 2,259,367.04/1,679.44
  6. Step 6: Final answer
    x = 1,345.31

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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.