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Finding the Fourth Proportional to 723, 1,084.16 and 311.88

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Solution

The fourth proportional to 723, 1,084.16 and 311.88 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 1,084.16 = 311.88 : x
  2. Step 2: Convert to fraction form
    723/1,084.16 = 311.88/x
  3. Step 3: Cross multiply
    723x = 1,084.16 × 311.88
  4. Step 4: Simplify right side
    723x = 338,127.82
  5. Step 5: Solve for x
    x = 338,127.82/723
  6. Step 6: Final answer
    x = 467.67

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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.