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Finding the Fourth Proportional to 856.19, 1,285.08 and 445.62

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Solution

The fourth proportional to 856.19, 1,285.08 and 445.62 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.19 : 1,285.08 = 445.62 : x
  2. Step 2: Convert to fraction form
    856.19/1,285.08 = 445.62/x
  3. Step 3: Cross multiply
    856.19x = 1,285.08 × 445.62
  4. Step 4: Simplify right side
    856.19x = 572,657.35
  5. Step 5: Solve for x
    x = 572,657.35/856.19
  6. Step 6: Final answer
    x = 668.85

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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.