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Finding the Fourth Proportional to 676.09, 1,013.61 and 259.52

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Solution

The fourth proportional to 676.09, 1,013.61 and 259.52 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.09 : 1,013.61 = 259.52 : x
  2. Step 2: Convert to fraction form
    676.09/1,013.61 = 259.52/x
  3. Step 3: Cross multiply
    676.09x = 1,013.61 × 259.52
  4. Step 4: Simplify right side
    676.09x = 263,052.07
  5. Step 5: Solve for x
    x = 263,052.07/676.09
  6. Step 6: Final answer
    x = 389.08

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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.