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Finding the Fourth Proportional to 528.27, 789.36 and 364.65

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Solution

The fourth proportional to 528.27, 789.36 and 364.65 is: 544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.27 : 789.36 = 364.65 : x
  2. Step 2: Convert to fraction form
    528.27/789.36 = 364.65/x
  3. Step 3: Cross multiply
    528.27x = 789.36 × 364.65
  4. Step 4: Simplify right side
    528.27x = 287,840.12
  5. Step 5: Solve for x
    x = 287,840.12/528.27
  6. Step 6: Final answer
    x = 544.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.