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Finding the Fourth Proportional to 823.59, 1,235.83 and 336.98

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Solution

The fourth proportional to 823.59, 1,235.83 and 336.98 is: 505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.59 : 1,235.83 = 336.98 : x
  2. Step 2: Convert to fraction form
    823.59/1,235.83 = 336.98/x
  3. Step 3: Cross multiply
    823.59x = 1,235.83 × 336.98
  4. Step 4: Simplify right side
    823.59x = 416,448.66
  5. Step 5: Solve for x
    x = 416,448.66/823.59
  6. Step 6: Final answer
    x = 505.65

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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.