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Finding the Fourth Proportional to 856.76, 1,283.06 and 490.43

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Solution

The fourth proportional to 856.76, 1,283.06 and 490.43 is: 734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,283.06 = 490.43 : x
  2. Step 2: Convert to fraction form
    856.76/1,283.06 = 490.43/x
  3. Step 3: Cross multiply
    856.76x = 1,283.06 × 490.43
  4. Step 4: Simplify right side
    856.76x = 629,251.12
  5. Step 5: Solve for x
    x = 629,251.12/856.76
  6. Step 6: Final answer
    x = 734.46

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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.