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Finding the Fourth Proportional to 620.89, 856.80 and 341.12

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Solution

The fourth proportional to 620.89, 856.80 and 341.12 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.89 : 856.80 = 341.12 : x
  2. Step 2: Convert to fraction form
    620.89/856.80 = 341.12/x
  3. Step 3: Cross multiply
    620.89x = 856.80 × 341.12
  4. Step 4: Simplify right side
    620.89x = 292,273.76
  5. Step 5: Solve for x
    x = 292,273.76/620.89
  6. Step 6: Final answer
    x = 470.74

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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.