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Finding the Fourth Proportional to 1,234.94, 1,853.07 and 824.30

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Solution

The fourth proportional to 1,234.94, 1,853.07 and 824.30 is: 1,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.94 : 1,853.07 = 824.30 : x
  2. Step 2: Convert to fraction form
    1,234.94/1,853.07 = 824.30/x
  3. Step 3: Cross multiply
    1,234.94x = 1,853.07 × 824.30
  4. Step 4: Simplify right side
    1,234.94x = 1,527,485.60
  5. Step 5: Solve for x
    x = 1,527,485.60/1,234.94
  6. Step 6: Final answer
    x = 1,236.89

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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.