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Finding the Fourth Proportional to 823.12, 1,234.71 and 384.37

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Solution

The fourth proportional to 823.12, 1,234.71 and 384.37 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.12 : 1,234.71 = 384.37 : x
  2. Step 2: Convert to fraction form
    823.12/1,234.71 = 384.37/x
  3. Step 3: Cross multiply
    823.12x = 1,234.71 × 384.37
  4. Step 4: Simplify right side
    823.12x = 474,582.40
  5. Step 5: Solve for x
    x = 474,582.40/823.12
  6. Step 6: Final answer
    x = 576.57

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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.