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Finding the Fourth Proportional to 856.85, 1,285.27 and 445.77

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Solution

The fourth proportional to 856.85, 1,285.27 and 445.77 is: 668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.85 : 1,285.27 = 445.77 : x
  2. Step 2: Convert to fraction form
    856.85/1,285.27 = 445.77/x
  3. Step 3: Cross multiply
    856.85x = 1,285.27 × 445.77
  4. Step 4: Simplify right side
    856.85x = 572,933.69
  5. Step 5: Solve for x
    x = 572,933.69/856.85
  6. Step 6: Final answer
    x = 668.66

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Double scale
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1.5x scale

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.