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Finding the Fourth Proportional to 856.09, 1,181.54 and 562.21

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Solution

The fourth proportional to 856.09, 1,181.54 and 562.21 is: 775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.09 : 1,181.54 = 562.21 : x
  2. Step 2: Convert to fraction form
    856.09/1,181.54 = 562.21/x
  3. Step 3: Cross multiply
    856.09x = 1,181.54 × 562.21
  4. Step 4: Simplify right side
    856.09x = 664,273.60
  5. Step 5: Solve for x
    x = 664,273.60/856.09
  6. Step 6: Final answer
    x = 775.94

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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.