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Finding the Fourth Proportional to 856.02, 1,282.83 and 683.22

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Solution

The fourth proportional to 856.02, 1,282.83 and 683.22 is: 1,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,282.83 = 683.22 : x
  2. Step 2: Convert to fraction form
    856.02/1,282.83 = 683.22/x
  3. Step 3: Cross multiply
    856.02x = 1,282.83 × 683.22
  4. Step 4: Simplify right side
    856.02x = 876,455.11
  5. Step 5: Solve for x
    x = 876,455.11/856.02
  6. Step 6: Final answer
    x = 1,023.87

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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.