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Finding the Fourth Proportional to 538.54, 742.24 and 420.31

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Solution

The fourth proportional to 538.54, 742.24 and 420.31 is: 579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 742.24 = 420.31 : x
  2. Step 2: Convert to fraction form
    538.54/742.24 = 420.31/x
  3. Step 3: Cross multiply
    538.54x = 742.24 × 420.31
  4. Step 4: Simplify right side
    538.54x = 311,970.89
  5. Step 5: Solve for x
    x = 311,970.89/538.54
  6. Step 6: Final answer
    x = 579.29

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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.