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Finding the Fourth Proportional to 620.67, 856.62 and 355.12

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Solution

The fourth proportional to 620.67, 856.62 and 355.12 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.67 : 856.62 = 355.12 : x
  2. Step 2: Convert to fraction form
    620.67/856.62 = 355.12/x
  3. Step 3: Cross multiply
    620.67x = 856.62 × 355.12
  4. Step 4: Simplify right side
    620.67x = 304,202.89
  5. Step 5: Solve for x
    x = 304,202.89/620.67
  6. Step 6: Final answer
    x = 490.12

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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.