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Finding the Fourth Proportional to 856.27, 1,283.64 and 394.12

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Solution

The fourth proportional to 856.27, 1,283.64 and 394.12 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.27 : 1,283.64 = 394.12 : x
  2. Step 2: Convert to fraction form
    856.27/1,283.64 = 394.12/x
  3. Step 3: Cross multiply
    856.27x = 1,283.64 × 394.12
  4. Step 4: Simplify right side
    856.27x = 505,908.20
  5. Step 5: Solve for x
    x = 505,908.20/856.27
  6. Step 6: Final answer
    x = 590.83

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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.