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Finding the Fourth Proportional to 620.96, 856.30 and 434.12

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Solution

The fourth proportional to 620.96, 856.30 and 434.12 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.96 : 856.30 = 434.12 : x
  2. Step 2: Convert to fraction form
    620.96/856.30 = 434.12/x
  3. Step 3: Cross multiply
    620.96x = 856.30 × 434.12
  4. Step 4: Simplify right side
    620.96x = 371,736.96
  5. Step 5: Solve for x
    x = 371,736.96/620.96
  6. Step 6: Final answer
    x = 598.65

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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.