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Finding the Fourth Proportional to 856.90, 1,183.20 and 525.50

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Solution

The fourth proportional to 856.90, 1,183.20 and 525.50 is: 725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.90 : 1,183.20 = 525.50 : x
  2. Step 2: Convert to fraction form
    856.90/1,183.20 = 525.50/x
  3. Step 3: Cross multiply
    856.90x = 1,183.20 × 525.50
  4. Step 4: Simplify right side
    856.90x = 621,771.60
  5. Step 5: Solve for x
    x = 621,771.60/856.90
  6. Step 6: Final answer
    x = 725.61

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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.