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Finding the Fourth Proportional to 573.12, 789.84 and 484.48

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Solution

The fourth proportional to 573.12, 789.84 and 484.48 is: 667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 789.84 = 484.48 : x
  2. Step 2: Convert to fraction form
    573.12/789.84 = 484.48/x
  3. Step 3: Cross multiply
    573.12x = 789.84 × 484.48
  4. Step 4: Simplify right side
    573.12x = 382,661.68
  5. Step 5: Solve for x
    x = 382,661.68/573.12
  6. Step 6: Final answer
    x = 667.68

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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.