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Finding the Fourth Proportional to 856.43, 1,284.16 and 271.32

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Solution

The fourth proportional to 856.43, 1,284.16 and 271.32 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.43 : 1,284.16 = 271.32 : x
  2. Step 2: Convert to fraction form
    856.43/1,284.16 = 271.32/x
  3. Step 3: Cross multiply
    856.43x = 1,284.16 × 271.32
  4. Step 4: Simplify right side
    856.43x = 348,418.29
  5. Step 5: Solve for x
    x = 348,418.29/856.43
  6. Step 6: Final answer
    x = 406.83

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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.