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Finding the Fourth Proportional to 856.22, 1,285.44 and 445.64

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Solution

The fourth proportional to 856.22, 1,285.44 and 445.64 is: 669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.22 : 1,285.44 = 445.64 : x
  2. Step 2: Convert to fraction form
    856.22/1,285.44 = 445.64/x
  3. Step 3: Cross multiply
    856.22x = 1,285.44 × 445.64
  4. Step 4: Simplify right side
    856.22x = 572,841.25
  5. Step 5: Solve for x
    x = 572,841.25/856.22
  6. Step 6: Final answer
    x = 669.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.