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Finding the Fourth Proportional to 538.06, 742.17 and 421.42

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Solution

The fourth proportional to 538.06, 742.17 and 421.42 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.06 : 742.17 = 421.42 : x
  2. Step 2: Convert to fraction form
    538.06/742.17 = 421.42/x
  3. Step 3: Cross multiply
    538.06x = 742.17 × 421.42
  4. Step 4: Simplify right side
    538.06x = 312,765.28
  5. Step 5: Solve for x
    x = 312,765.28/538.06
  6. Step 6: Final answer
    x = 581.28

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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.