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Finding the Fourth Proportional to 539.81, 745.02 and 423.57

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Solution

The fourth proportional to 539.81, 745.02 and 423.57 is: 584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 745.02 = 423.57 : x
  2. Step 2: Convert to fraction form
    539.81/745.02 = 423.57/x
  3. Step 3: Cross multiply
    539.81x = 745.02 × 423.57
  4. Step 4: Simplify right side
    539.81x = 315,568.12
  5. Step 5: Solve for x
    x = 315,568.12/539.81
  6. Step 6: Final answer
    x = 584.60

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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.