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Finding the Fourth Proportional to 731.03, 1,096.61 and 384.14

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Solution

The fourth proportional to 731.03, 1,096.61 and 384.14 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.03 : 1,096.61 = 384.14 : x
  2. Step 2: Convert to fraction form
    731.03/1,096.61 = 384.14/x
  3. Step 3: Cross multiply
    731.03x = 1,096.61 × 384.14
  4. Step 4: Simplify right side
    731.03x = 421,252.59
  5. Step 5: Solve for x
    x = 421,252.59/731.03
  6. Step 6: Final answer
    x = 576.25

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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.