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Finding the Fourth Proportional to 573.12, 789.12 and 532.80

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Solution

The fourth proportional to 573.12, 789.12 and 532.80 is: 733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 789.12 = 532.80 : x
  2. Step 2: Convert to fraction form
    573.12/789.12 = 532.80/x
  3. Step 3: Cross multiply
    573.12x = 789.12 × 532.80
  4. Step 4: Simplify right side
    573.12x = 420,443.14
  5. Step 5: Solve for x
    x = 420,443.14/573.12
  6. Step 6: Final answer
    x = 733.60

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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.