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Finding the Fourth Proportional to 538.48, 742.62 and 421.84

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Solution

The fourth proportional to 538.48, 742.62 and 421.84 is: 581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 742.62 = 421.84 : x
  2. Step 2: Convert to fraction form
    538.48/742.62 = 421.84/x
  3. Step 3: Cross multiply
    538.48x = 742.62 × 421.84
  4. Step 4: Simplify right side
    538.48x = 313,266.82
  5. Step 5: Solve for x
    x = 313,266.82/538.48
  6. Step 6: Final answer
    x = 581.76

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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.