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Finding the Fourth Proportional to 539.85, 744.21 and 423.21

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Solution

The fourth proportional to 539.85, 744.21 and 423.21 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.85 : 744.21 = 423.21 : x
  2. Step 2: Convert to fraction form
    539.85/744.21 = 423.21/x
  3. Step 3: Cross multiply
    539.85x = 744.21 × 423.21
  4. Step 4: Simplify right side
    539.85x = 314,957.11
  5. Step 5: Solve for x
    x = 314,957.11/539.85
  6. Step 6: Final answer
    x = 583.42

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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.