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Finding the Fourth Proportional to 823.88, 1,235.78 and 207.59

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Solution

The fourth proportional to 823.88, 1,235.78 and 207.59 is: 311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 1,235.78 = 207.59 : x
  2. Step 2: Convert to fraction form
    823.88/1,235.78 = 207.59/x
  3. Step 3: Cross multiply
    823.88x = 1,235.78 × 207.59
  4. Step 4: Simplify right side
    823.88x = 256,528.35
  5. Step 5: Solve for x
    x = 256,528.35/823.88
  6. Step 6: Final answer
    x = 311.37

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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.