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Finding the Fourth Proportional to 909.87, 1,246.22 and 856.68

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Solution

The fourth proportional to 909.87, 1,246.22 and 856.68 is: 1,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.87 : 1,246.22 = 856.68 : x
  2. Step 2: Convert to fraction form
    909.87/1,246.22 = 856.68/x
  3. Step 3: Cross multiply
    909.87x = 1,246.22 × 856.68
  4. Step 4: Simplify right side
    909.87x = 1,067,611.75
  5. Step 5: Solve for x
    x = 1,067,611.75/909.87
  6. Step 6: Final answer
    x = 1,173.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.