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Finding the Fourth Proportional to 620.38, 856.09 and 358.48

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Solution

The fourth proportional to 620.38, 856.09 and 358.48 is: 494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.38 : 856.09 = 358.48 : x
  2. Step 2: Convert to fraction form
    620.38/856.09 = 358.48/x
  3. Step 3: Cross multiply
    620.38x = 856.09 × 358.48
  4. Step 4: Simplify right side
    620.38x = 306,889.45
  5. Step 5: Solve for x
    x = 306,889.45/620.38
  6. Step 6: Final answer
    x = 494.68

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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.