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Finding the Fourth Proportional to 420.01, 580.91 and 376.33

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Solution

The fourth proportional to 420.01, 580.91 and 376.33 is: 520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.01 : 580.91 = 376.33 : x
  2. Step 2: Convert to fraction form
    420.01/580.91 = 376.33/x
  3. Step 3: Cross multiply
    420.01x = 580.91 × 376.33
  4. Step 4: Simplify right side
    420.01x = 218,611.98
  5. Step 5: Solve for x
    x = 218,611.98/420.01
  6. Step 6: Final answer
    x = 520.49

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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.