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Finding the Fourth Proportional to 525.83, 789.11 and 395.99

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Solution

The fourth proportional to 525.83, 789.11 and 395.99 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.83 : 789.11 = 395.99 : x
  2. Step 2: Convert to fraction form
    525.83/789.11 = 395.99/x
  3. Step 3: Cross multiply
    525.83x = 789.11 × 395.99
  4. Step 4: Simplify right side
    525.83x = 312,478.19
  5. Step 5: Solve for x
    x = 312,478.19/525.83
  6. Step 6: Final answer
    x = 594.26

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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.