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Finding the Fourth Proportional to 856.94, 1,285.36 and 336.86

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Solution

The fourth proportional to 856.94, 1,285.36 and 336.86 is: 505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.94 : 1,285.36 = 336.86 : x
  2. Step 2: Convert to fraction form
    856.94/1,285.36 = 336.86/x
  3. Step 3: Cross multiply
    856.94x = 1,285.36 × 336.86
  4. Step 4: Simplify right side
    856.94x = 432,986.37
  5. Step 5: Solve for x
    x = 432,986.37/856.94
  6. Step 6: Final answer
    x = 505.27

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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.