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Finding the Fourth Proportional to 434.82, 601.40 and 427.54

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Solution

The fourth proportional to 434.82, 601.40 and 427.54 is: 591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.82 : 601.40 = 427.54 : x
  2. Step 2: Convert to fraction form
    434.82/601.40 = 427.54/x
  3. Step 3: Cross multiply
    434.82x = 601.40 × 427.54
  4. Step 4: Simplify right side
    434.82x = 257,122.56
  5. Step 5: Solve for x
    x = 257,122.56/434.82
  6. Step 6: Final answer
    x = 591.33

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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.