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Finding the Fourth Proportional to 1,663.87, 2,494.73 and 623.83

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Solution

The fourth proportional to 1,663.87, 2,494.73 and 623.83 is: 935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.87 : 2,494.73 = 623.83 : x
  2. Step 2: Convert to fraction form
    1,663.87/2,494.73 = 623.83/x
  3. Step 3: Cross multiply
    1,663.87x = 2,494.73 × 623.83
  4. Step 4: Simplify right side
    1,663.87x = 1,556,287.42
  5. Step 5: Solve for x
    x = 1,556,287.42/1,663.87
  6. Step 6: Final answer
    x = 935.34

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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.