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Finding the Fourth Proportional to 1,328.23, 1,832.14 and 856.75

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Solution

The fourth proportional to 1,328.23, 1,832.14 and 856.75 is: 1,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.23 : 1,832.14 = 856.75 : x
  2. Step 2: Convert to fraction form
    1,328.23/1,832.14 = 856.75/x
  3. Step 3: Cross multiply
    1,328.23x = 1,832.14 × 856.75
  4. Step 4: Simplify right side
    1,328.23x = 1,569,685.95
  5. Step 5: Solve for x
    x = 1,569,685.95/1,328.23
  6. Step 6: Final answer
    x = 1,181.79

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Half scale
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1.5x scale

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.