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Finding the Fourth Proportional to 856.21, 1,181.49 and 576.40

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Solution

The fourth proportional to 856.21, 1,181.49 and 576.40 is: 795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.21 : 1,181.49 = 576.40 : x
  2. Step 2: Convert to fraction form
    856.21/1,181.49 = 576.40/x
  3. Step 3: Cross multiply
    856.21x = 1,181.49 × 576.40
  4. Step 4: Simplify right side
    856.21x = 681,010.84
  5. Step 5: Solve for x
    x = 681,010.84/856.21
  6. Step 6: Final answer
    x = 795.38

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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.