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Finding the Fourth Proportional to 2,442.59, 3,664.08 and 687.73

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Solution

The fourth proportional to 2,442.59, 3,664.08 and 687.73 is: 1,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.59 : 3,664.08 = 687.73 : x
  2. Step 2: Convert to fraction form
    2,442.59/3,664.08 = 687.73/x
  3. Step 3: Cross multiply
    2,442.59x = 3,664.08 × 687.73
  4. Step 4: Simplify right side
    2,442.59x = 2,519,903.82
  5. Step 5: Solve for x
    x = 2,519,903.82/2,442.59
  6. Step 6: Final answer
    x = 1,031.65

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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.