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Finding the Fourth Proportional to 539.05, 743.40 and 352.48

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Solution

The fourth proportional to 539.05, 743.40 and 352.48 is: 486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.05 : 743.40 = 352.48 : x
  2. Step 2: Convert to fraction form
    539.05/743.40 = 352.48/x
  3. Step 3: Cross multiply
    539.05x = 743.40 × 352.48
  4. Step 4: Simplify right side
    539.05x = 262,033.63
  5. Step 5: Solve for x
    x = 262,033.63/539.05
  6. Step 6: Final answer
    x = 486.10

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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.