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Finding the Fourth Proportional to 525.80, 789.38 and 404.15

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Solution

The fourth proportional to 525.80, 789.38 and 404.15 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 789.38 = 404.15 : x
  2. Step 2: Convert to fraction form
    525.80/789.38 = 404.15/x
  3. Step 3: Cross multiply
    525.80x = 789.38 × 404.15
  4. Step 4: Simplify right side
    525.80x = 319,027.93
  5. Step 5: Solve for x
    x = 319,027.93/525.80
  6. Step 6: Final answer
    x = 606.75

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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.