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Finding the Fourth Proportional to 1,376.05, 2,065.10 and 856.81

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Solution

The fourth proportional to 1,376.05, 2,065.10 and 856.81 is: 1,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.05 : 2,065.10 = 856.81 : x
  2. Step 2: Convert to fraction form
    1,376.05/2,065.10 = 856.81/x
  3. Step 3: Cross multiply
    1,376.05x = 2,065.10 × 856.81
  4. Step 4: Simplify right side
    1,376.05x = 1,769,398.33
  5. Step 5: Solve for x
    x = 1,769,398.33/1,376.05
  6. Step 6: Final answer
    x = 1,285.85

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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.