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Finding the Fourth Proportional to 823.50, 1,233.41 and 457.47

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Solution

The fourth proportional to 823.50, 1,233.41 and 457.47 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,233.41 = 457.47 : x
  2. Step 2: Convert to fraction form
    823.50/1,233.41 = 457.47/x
  3. Step 3: Cross multiply
    823.50x = 1,233.41 × 457.47
  4. Step 4: Simplify right side
    823.50x = 564,245.79
  5. Step 5: Solve for x
    x = 564,245.79/823.50
  6. Step 6: Final answer
    x = 685.18

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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.