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Finding the Fourth Proportional to 1,793.96, 2,690.19 and 623.64

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Solution

The fourth proportional to 1,793.96, 2,690.19 and 623.64 is: 935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.96 : 2,690.19 = 623.64 : x
  2. Step 2: Convert to fraction form
    1,793.96/2,690.19 = 623.64/x
  3. Step 3: Cross multiply
    1,793.96x = 2,690.19 × 623.64
  4. Step 4: Simplify right side
    1,793.96x = 1,677,710.09
  5. Step 5: Solve for x
    x = 1,677,710.09/1,793.96
  6. Step 6: Final answer
    x = 935.20

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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.