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Finding the Fourth Proportional to 731.78, 1,096.22 and 384.59

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Solution

The fourth proportional to 731.78, 1,096.22 and 384.59 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.78 : 1,096.22 = 384.59 : x
  2. Step 2: Convert to fraction form
    731.78/1,096.22 = 384.59/x
  3. Step 3: Cross multiply
    731.78x = 1,096.22 × 384.59
  4. Step 4: Simplify right side
    731.78x = 421,595.25
  5. Step 5: Solve for x
    x = 421,595.25/731.78
  6. Step 6: Final answer
    x = 576.12

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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.