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Finding the Fourth Proportional to 539.40, 743.42 and 445.60

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Solution

The fourth proportional to 539.40, 743.42 and 445.60 is: 614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.40 : 743.42 = 445.60 : x
  2. Step 2: Convert to fraction form
    539.40/743.42 = 445.60/x
  3. Step 3: Cross multiply
    539.40x = 743.42 × 445.60
  4. Step 4: Simplify right side
    539.40x = 331,267.95
  5. Step 5: Solve for x
    x = 331,267.95/539.40
  6. Step 6: Final answer
    x = 614.14

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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.