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Finding the Fourth Proportional to 572.88, 789.92 and 423.72

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Solution

The fourth proportional to 572.88, 789.92 and 423.72 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.88 : 789.92 = 423.72 : x
  2. Step 2: Convert to fraction form
    572.88/789.92 = 423.72/x
  3. Step 3: Cross multiply
    572.88x = 789.92 × 423.72
  4. Step 4: Simplify right side
    572.88x = 334,704.90
  5. Step 5: Solve for x
    x = 334,704.90/572.88
  6. Step 6: Final answer
    x = 584.25

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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.