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Finding the Fourth Proportional to 823.16, 1,235.09 and 360.70

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Solution

The fourth proportional to 823.16, 1,235.09 and 360.70 is: 541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.16 : 1,235.09 = 360.70 : x
  2. Step 2: Convert to fraction form
    823.16/1,235.09 = 360.70/x
  3. Step 3: Cross multiply
    823.16x = 1,235.09 × 360.70
  4. Step 4: Simplify right side
    823.16x = 445,495.16
  5. Step 5: Solve for x
    x = 445,495.16/823.16
  6. Step 6: Final answer
    x = 541.20

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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.