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Finding the Fourth Proportional to 573.52, 789.42 and 423.86

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Solution

The fourth proportional to 573.52, 789.42 and 423.86 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.52 : 789.42 = 423.86 : x
  2. Step 2: Convert to fraction form
    573.52/789.42 = 423.86/x
  3. Step 3: Cross multiply
    573.52x = 789.42 × 423.86
  4. Step 4: Simplify right side
    573.52x = 334,603.56
  5. Step 5: Solve for x
    x = 334,603.56/573.52
  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.