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Finding the Fourth Proportional to 620.37, 856.38 and 410.66

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Solution

The fourth proportional to 620.37, 856.38 and 410.66 is: 566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.37 : 856.38 = 410.66 : x
  2. Step 2: Convert to fraction form
    620.37/856.38 = 410.66/x
  3. Step 3: Cross multiply
    620.37x = 856.38 × 410.66
  4. Step 4: Simplify right side
    620.37x = 351,676.73
  5. Step 5: Solve for x
    x = 351,676.73/620.37
  6. Step 6: Final answer
    x = 566.88

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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.