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Finding the Fourth Proportional to 434.57, 600.24 and 428.09

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Solution

The fourth proportional to 434.57, 600.24 and 428.09 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 600.24 = 428.09 : x
  2. Step 2: Convert to fraction form
    434.57/600.24 = 428.09/x
  3. Step 3: Cross multiply
    434.57x = 600.24 × 428.09
  4. Step 4: Simplify right side
    434.57x = 256,956.74
  5. Step 5: Solve for x
    x = 256,956.74/434.57
  6. Step 6: Final answer
    x = 591.29

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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.