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Finding the Fourth Proportional to 869.78, 1,305.43 and 504.07

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Solution

The fourth proportional to 869.78, 1,305.43 and 504.07 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.78 : 1,305.43 = 504.07 : x
  2. Step 2: Convert to fraction form
    869.78/1,305.43 = 504.07/x
  3. Step 3: Cross multiply
    869.78x = 1,305.43 × 504.07
  4. Step 4: Simplify right side
    869.78x = 658,021.57
  5. Step 5: Solve for x
    x = 658,021.57/869.78
  6. Step 6: Final answer
    x = 756.54

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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.