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Finding the Fourth Proportional to 538.14, 742.65 and 421.50

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Solution

The fourth proportional to 538.14, 742.65 and 421.50 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 742.65 = 421.50 : x
  2. Step 2: Convert to fraction form
    538.14/742.65 = 421.50/x
  3. Step 3: Cross multiply
    538.14x = 742.65 × 421.50
  4. Step 4: Simplify right side
    538.14x = 313,026.98
  5. Step 5: Solve for x
    x = 313,026.98/538.14
  6. Step 6: Final answer
    x = 581.68

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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.