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Finding the Fourth Proportional to 823.18, 1,229 and 723.98

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Solution

The fourth proportional to 823.18, 1,229 and 723.98 is: 1,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.18 : 1,229 = 723.98 : x
  2. Step 2: Convert to fraction form
    823.18/1,229 = 723.98/x
  3. Step 3: Cross multiply
    823.18x = 1,229 × 723.98
  4. Step 4: Simplify right side
    823.18x = 889,771.42
  5. Step 5: Solve for x
    x = 889,771.42/823.18
  6. Step 6: Final answer
    x = 1,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.