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Finding the Fourth Proportional to 731.49, 1,096.22 and 384.14

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Solution

The fourth proportional to 731.49, 1,096.22 and 384.14 is: 575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.49 : 1,096.22 = 384.14 : x
  2. Step 2: Convert to fraction form
    731.49/1,096.22 = 384.14/x
  3. Step 3: Cross multiply
    731.49x = 1,096.22 × 384.14
  4. Step 4: Simplify right side
    731.49x = 421,096.47
  5. Step 5: Solve for x
    x = 421,096.47/731.49
  6. Step 6: Final answer
    x = 575.67

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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.