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Finding the Fourth Proportional to 1,454.03, 2,006.44 and 856.43

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Solution

The fourth proportional to 1,454.03, 2,006.44 and 856.43 is: 1,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.03 : 2,006.44 = 856.43 : x
  2. Step 2: Convert to fraction form
    1,454.03/2,006.44 = 856.43/x
  3. Step 3: Cross multiply
    1,454.03x = 2,006.44 × 856.43
  4. Step 4: Simplify right side
    1,454.03x = 1,718,378.28
  5. Step 5: Solve for x
    x = 1,718,378.28/1,454.03
  6. Step 6: Final answer
    x = 1,181.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.