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Finding the Fourth Proportional to 856.92, 1,285.76 and 446.37

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Solution

The fourth proportional to 856.92, 1,285.76 and 446.37 is: 669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.92 : 1,285.76 = 446.37 : x
  2. Step 2: Convert to fraction form
    856.92/1,285.76 = 446.37/x
  3. Step 3: Cross multiply
    856.92x = 1,285.76 × 446.37
  4. Step 4: Simplify right side
    856.92x = 573,924.69
  5. Step 5: Solve for x
    x = 573,924.69/856.92
  6. Step 6: Final answer
    x = 669.75

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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.