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Finding the Fourth Proportional to 539.48, 743.96 and 352.91

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Solution

The fourth proportional to 539.48, 743.96 and 352.91 is: 486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.48 : 743.96 = 352.91 : x
  2. Step 2: Convert to fraction form
    539.48/743.96 = 352.91/x
  3. Step 3: Cross multiply
    539.48x = 743.96 × 352.91
  4. Step 4: Simplify right side
    539.48x = 262,548.09
  5. Step 5: Solve for x
    x = 262,548.09/539.48
  6. Step 6: Final answer
    x = 486.67

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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.