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Finding the Fourth Proportional to 823.41, 1,235.12 and 498.09

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Solution

The fourth proportional to 823.41, 1,235.12 and 498.09 is: 747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.41 : 1,235.12 = 498.09 : x
  2. Step 2: Convert to fraction form
    823.41/1,235.12 = 498.09/x
  3. Step 3: Cross multiply
    823.41x = 1,235.12 × 498.09
  4. Step 4: Simplify right side
    823.41x = 615,198.43
  5. Step 5: Solve for x
    x = 615,198.43/823.41
  6. Step 6: Final answer
    x = 747.14

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Double scale
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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.