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Finding the Fourth Proportional to 539.25, 744.51 and 421.02

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Solution

The fourth proportional to 539.25, 744.51 and 421.02 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 744.51 = 421.02 : x
  2. Step 2: Convert to fraction form
    539.25/744.51 = 421.02/x
  3. Step 3: Cross multiply
    539.25x = 744.51 × 421.02
  4. Step 4: Simplify right side
    539.25x = 313,453.60
  5. Step 5: Solve for x
    x = 313,453.60/539.25
  6. Step 6: Final answer
    x = 581.28

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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.