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Finding the Fourth Proportional to 1,234.59, 1,849.84 and 867.59

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Solution

The fourth proportional to 1,234.59, 1,849.84 and 867.59 is: 1,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.59 : 1,849.84 = 867.59 : x
  2. Step 2: Convert to fraction form
    1,234.59/1,849.84 = 867.59/x
  3. Step 3: Cross multiply
    1,234.59x = 1,849.84 × 867.59
  4. Step 4: Simplify right side
    1,234.59x = 1,604,893.00
  5. Step 5: Solve for x
    x = 1,604,893.00/1,234.59
  6. Step 6: Final answer
    x = 1,299.94

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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.