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Finding the Fourth Proportional to 620.49, 856.46 and 434.03

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Solution

The fourth proportional to 620.49, 856.46 and 434.03 is: 599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 856.46 = 434.03 : x
  2. Step 2: Convert to fraction form
    620.49/856.46 = 434.03/x
  3. Step 3: Cross multiply
    620.49x = 856.46 × 434.03
  4. Step 4: Simplify right side
    620.49x = 371,730.92
  5. Step 5: Solve for x
    x = 371,730.92/620.49
  6. Step 6: Final answer
    x = 599.09

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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.