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Finding the Fourth Proportional to 961.32, 1,325.52 and 856.80

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Solution

The fourth proportional to 961.32, 1,325.52 and 856.80 is: 1,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.32 : 1,325.52 = 856.80 : x
  2. Step 2: Convert to fraction form
    961.32/1,325.52 = 856.80/x
  3. Step 3: Cross multiply
    961.32x = 1,325.52 × 856.80
  4. Step 4: Simplify right side
    961.32x = 1,135,705.54
  5. Step 5: Solve for x
    x = 1,135,705.54/961.32
  6. Step 6: Final answer
    x = 1,181.40

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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.