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Finding the Fourth Proportional to 525.26, 789.09 and 454.79

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Solution

The fourth proportional to 525.26, 789.09 and 454.79 is: 683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 789.09 = 454.79 : x
  2. Step 2: Convert to fraction form
    525.26/789.09 = 454.79/x
  3. Step 3: Cross multiply
    525.26x = 789.09 × 454.79
  4. Step 4: Simplify right side
    525.26x = 358,866.30
  5. Step 5: Solve for x
    x = 358,866.30/525.26
  6. Step 6: Final answer
    x = 683.22

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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.