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Finding the Fourth Proportional to 2,266.85, 3,400.15 and 623.28

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Solution

The fourth proportional to 2,266.85, 3,400.15 and 623.28 is: 934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.85 : 3,400.15 = 623.28 : x
  2. Step 2: Convert to fraction form
    2,266.85/3,400.15 = 623.28/x
  3. Step 3: Cross multiply
    2,266.85x = 3,400.15 × 623.28
  4. Step 4: Simplify right side
    2,266.85x = 2,119,245.49
  5. Step 5: Solve for x
    x = 2,119,245.49/2,266.85
  6. Step 6: Final answer
    x = 934.89

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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.