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Finding the Fourth Proportional to 825.03, 1,234.31 and 549.81

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Solution

The fourth proportional to 825.03, 1,234.31 and 549.81 is: 822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.03 : 1,234.31 = 549.81 : x
  2. Step 2: Convert to fraction form
    825.03/1,234.31 = 549.81/x
  3. Step 3: Cross multiply
    825.03x = 1,234.31 × 549.81
  4. Step 4: Simplify right side
    825.03x = 678,633.23
  5. Step 5: Solve for x
    x = 678,633.23/825.03
  6. Step 6: Final answer
    x = 822.56

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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.