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Finding the Fourth Proportional to 620.39, 856.01 and 423.83

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Solution

The fourth proportional to 620.39, 856.01 and 423.83 is: 584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.39 : 856.01 = 423.83 : x
  2. Step 2: Convert to fraction form
    620.39/856.01 = 423.83/x
  3. Step 3: Cross multiply
    620.39x = 856.01 × 423.83
  4. Step 4: Simplify right side
    620.39x = 362,799.50
  5. Step 5: Solve for x
    x = 362,799.50/620.39
  6. Step 6: Final answer
    x = 584.80

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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.