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Finding the Fourth Proportional to 1,445.56, 1,994.91 and 856.10

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Solution

The fourth proportional to 1,445.56, 1,994.91 and 856.10 is: 1,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.56 : 1,994.91 = 856.10 : x
  2. Step 2: Convert to fraction form
    1,445.56/1,994.91 = 856.10/x
  3. Step 3: Cross multiply
    1,445.56x = 1,994.91 × 856.10
  4. Step 4: Simplify right side
    1,445.56x = 1,707,849.04
  5. Step 5: Solve for x
    x = 1,707,849.04/1,445.56
  6. Step 6: Final answer
    x = 1,181.44

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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.