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Finding the Fourth Proportional to 856.38, 1,284.98 and 820.27

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Solution

The fourth proportional to 856.38, 1,284.98 and 820.27 is: 1,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.38 : 1,284.98 = 820.27 : x
  2. Step 2: Convert to fraction form
    856.38/1,284.98 = 820.27/x
  3. Step 3: Cross multiply
    856.38x = 1,284.98 × 820.27
  4. Step 4: Simplify right side
    856.38x = 1,054,030.54
  5. Step 5: Solve for x
    x = 1,054,030.54/856.38
  6. Step 6: Final answer
    x = 1,230.80

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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.