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Finding the Fourth Proportional to 734.72, 1,102.16 and 214.73

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Solution

The fourth proportional to 734.72, 1,102.16 and 214.73 is: 322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.72 : 1,102.16 = 214.73 : x
  2. Step 2: Convert to fraction form
    734.72/1,102.16 = 214.73/x
  3. Step 3: Cross multiply
    734.72x = 1,102.16 × 214.73
  4. Step 4: Simplify right side
    734.72x = 236,668.50
  5. Step 5: Solve for x
    x = 236,668.50/734.72
  6. Step 6: Final answer
    x = 322.12

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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.