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Finding the Fourth Proportional to 528, 789.84 and 380.85

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Solution

The fourth proportional to 528, 789.84 and 380.85 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 789.84 = 380.85 : x
  2. Step 2: Convert to fraction form
    528/789.84 = 380.85/x
  3. Step 3: Cross multiply
    528x = 789.84 × 380.85
  4. Step 4: Simplify right side
    528x = 300,810.56
  5. Step 5: Solve for x
    x = 300,810.56/528
  6. Step 6: Final answer
    x = 569.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.