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Finding the Fourth Proportional to 620.44, 856.31 and 421.67

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Solution

The fourth proportional to 620.44, 856.31 and 421.67 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.44 : 856.31 = 421.67 : x
  2. Step 2: Convert to fraction form
    620.44/856.31 = 421.67/x
  3. Step 3: Cross multiply
    620.44x = 856.31 × 421.67
  4. Step 4: Simplify right side
    620.44x = 361,080.24
  5. Step 5: Solve for x
    x = 361,080.24/620.44
  6. Step 6: Final answer
    x = 581.97

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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.