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Finding the Fourth Proportional to 2,266.86, 3,400.23 and 623.43

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Solution

The fourth proportional to 2,266.86, 3,400.23 and 623.43 is: 935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.86 : 3,400.23 = 623.43 : x
  2. Step 2: Convert to fraction form
    2,266.86/3,400.23 = 623.43/x
  3. Step 3: Cross multiply
    2,266.86x = 3,400.23 × 623.43
  4. Step 4: Simplify right side
    2,266.86x = 2,119,805.39
  5. Step 5: Solve for x
    x = 2,119,805.39/2,266.86
  6. Step 6: Final answer
    x = 935.13

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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.