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Finding the Fourth Proportional to 856.54, 1,284.72 and 336.43

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Solution

The fourth proportional to 856.54, 1,284.72 and 336.43 is: 504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.54 : 1,284.72 = 336.43 : x
  2. Step 2: Convert to fraction form
    856.54/1,284.72 = 336.43/x
  3. Step 3: Cross multiply
    856.54x = 1,284.72 × 336.43
  4. Step 4: Simplify right side
    856.54x = 432,218.35
  5. Step 5: Solve for x
    x = 432,218.35/856.54
  6. Step 6: Final answer
    x = 504.61

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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.