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Finding the Fourth Proportional to 528.91, 789.48 and 505.22

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Solution

The fourth proportional to 528.91, 789.48 and 505.22 is: 754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.91 : 789.48 = 505.22 : x
  2. Step 2: Convert to fraction form
    528.91/789.48 = 505.22/x
  3. Step 3: Cross multiply
    528.91x = 789.48 × 505.22
  4. Step 4: Simplify right side
    528.91x = 398,857.14
  5. Step 5: Solve for x
    x = 398,857.14/528.91
  6. Step 6: Final answer
    x = 754.12

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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.