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Finding the Fourth Proportional to 822.52, 1,234.23 and 360.64

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Solution

The fourth proportional to 822.52, 1,234.23 and 360.64 is: 541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.52 : 1,234.23 = 360.64 : x
  2. Step 2: Convert to fraction form
    822.52/1,234.23 = 360.64/x
  3. Step 3: Cross multiply
    822.52x = 1,234.23 × 360.64
  4. Step 4: Simplify right side
    822.52x = 445,112.71
  5. Step 5: Solve for x
    x = 445,112.71/822.52
  6. Step 6: Final answer
    x = 541.16

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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.