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Finding the Fourth Proportional to 620.73, 856.59 and 340.97

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Solution

The fourth proportional to 620.73, 856.59 and 340.97 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.73 : 856.59 = 340.97 : x
  2. Step 2: Convert to fraction form
    620.73/856.59 = 340.97/x
  3. Step 3: Cross multiply
    620.73x = 856.59 × 340.97
  4. Step 4: Simplify right side
    620.73x = 292,071.49
  5. Step 5: Solve for x
    x = 292,071.49/620.73
  6. Step 6: Final answer
    x = 470.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.