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Finding the Fourth Proportional to 1,676.76, 2,515.14 and 689.57

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Solution

The fourth proportional to 1,676.76, 2,515.14 and 689.57 is: 1,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.76 : 2,515.14 = 689.57 : x
  2. Step 2: Convert to fraction form
    1,676.76/2,515.14 = 689.57/x
  3. Step 3: Cross multiply
    1,676.76x = 2,515.14 × 689.57
  4. Step 4: Simplify right side
    1,676.76x = 1,734,365.09
  5. Step 5: Solve for x
    x = 1,734,365.09/1,676.76
  6. Step 6: Final answer
    x = 1,034.36

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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.