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Finding the Fourth Proportional to 856.46, 1,285.23 and 445.52

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Solution

The fourth proportional to 856.46, 1,285.23 and 445.52 is: 668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,285.23 = 445.52 : x
  2. Step 2: Convert to fraction form
    856.46/1,285.23 = 445.52/x
  3. Step 3: Cross multiply
    856.46x = 1,285.23 × 445.52
  4. Step 4: Simplify right side
    856.46x = 572,595.67
  5. Step 5: Solve for x
    x = 572,595.67/856.46
  6. Step 6: Final answer
    x = 668.56

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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.