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Finding the Fourth Proportional to 420.56, 578.42 and 337.54

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Solution

The fourth proportional to 420.56, 578.42 and 337.54 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 578.42 = 337.54 : x
  2. Step 2: Convert to fraction form
    420.56/578.42 = 337.54/x
  3. Step 3: Cross multiply
    420.56x = 578.42 × 337.54
  4. Step 4: Simplify right side
    420.56x = 195,238.02
  5. Step 5: Solve for x
    x = 195,238.02/420.56
  6. Step 6: Final answer
    x = 464.23

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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.