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Finding the Fourth Proportional to 2,431.30, 3,646.65 and 676.44

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Solution

The fourth proportional to 2,431.30, 3,646.65 and 676.44 is: 1,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.30 : 3,646.65 = 676.44 : x
  2. Step 2: Convert to fraction form
    2,431.30/3,646.65 = 676.44/x
  3. Step 3: Cross multiply
    2,431.30x = 3,646.65 × 676.44
  4. Step 4: Simplify right side
    2,431.30x = 2,466,724.98
  5. Step 5: Solve for x
    x = 2,466,724.98/2,431.30
  6. Step 6: Final answer
    x = 1,014.57

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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.