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Finding the Fourth Proportional to 823.36, 1,233.96 and 457.96

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Solution

The fourth proportional to 823.36, 1,233.96 and 457.96 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.36 : 1,233.96 = 457.96 : x
  2. Step 2: Convert to fraction form
    823.36/1,233.96 = 457.96/x
  3. Step 3: Cross multiply
    823.36x = 1,233.96 × 457.96
  4. Step 4: Simplify right side
    823.36x = 565,104.32
  5. Step 5: Solve for x
    x = 565,104.32/823.36
  6. Step 6: Final answer
    x = 686.34

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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.