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Finding the Fourth Proportional to 620.60, 856.17 and 423.77

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Solution

The fourth proportional to 620.60, 856.17 and 423.77 is: 584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.60 : 856.17 = 423.77 : x
  2. Step 2: Convert to fraction form
    620.60/856.17 = 423.77/x
  3. Step 3: Cross multiply
    620.60x = 856.17 × 423.77
  4. Step 4: Simplify right side
    620.60x = 362,814.88
  5. Step 5: Solve for x
    x = 362,814.88/620.60
  6. Step 6: Final answer
    x = 584.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.