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Finding the Fourth Proportional to 823.18, 1,231.70 and 494.29

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Solution

The fourth proportional to 823.18, 1,231.70 and 494.29 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.18 : 1,231.70 = 494.29 : x
  2. Step 2: Convert to fraction form
    823.18/1,231.70 = 494.29/x
  3. Step 3: Cross multiply
    823.18x = 1,231.70 × 494.29
  4. Step 4: Simplify right side
    823.18x = 608,816.99
  5. Step 5: Solve for x
    x = 608,816.99/823.18
  6. Step 6: Final answer
    x = 739.59

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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.