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Finding the Fourth Proportional to 600.39, 896.90 and 434.43

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Solution

The fourth proportional to 600.39, 896.90 and 434.43 is: 648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.39 : 896.90 = 434.43 : x
  2. Step 2: Convert to fraction form
    600.39/896.90 = 434.43/x
  3. Step 3: Cross multiply
    600.39x = 896.90 × 434.43
  4. Step 4: Simplify right side
    600.39x = 389,638.09
  5. Step 5: Solve for x
    x = 389,638.09/600.39
  6. Step 6: Final answer
    x = 648.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.