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Finding the Fourth Proportional to 856.89, 1,183.22 and 525.54

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Solution

The fourth proportional to 856.89, 1,183.22 and 525.54 is: 725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.89 : 1,183.22 = 525.54 : x
  2. Step 2: Convert to fraction form
    856.89/1,183.22 = 525.54/x
  3. Step 3: Cross multiply
    856.89x = 1,183.22 × 525.54
  4. Step 4: Simplify right side
    856.89x = 621,820.90
  5. Step 5: Solve for x
    x = 621,820.90/856.89
  6. Step 6: Final answer
    x = 725.67

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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.