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Finding the Fourth Proportional to 434.38, 597.90 and 378.49

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Solution

The fourth proportional to 434.38, 597.90 and 378.49 is: 520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.38 : 597.90 = 378.49 : x
  2. Step 2: Convert to fraction form
    434.38/597.90 = 378.49/x
  3. Step 3: Cross multiply
    434.38x = 597.90 × 378.49
  4. Step 4: Simplify right side
    434.38x = 226,299.17
  5. Step 5: Solve for x
    x = 226,299.17/434.38
  6. Step 6: Final answer
    x = 520.97

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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.