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Finding the Fourth Proportional to 734.69, 1,101.32 and 302.09

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Solution

The fourth proportional to 734.69, 1,101.32 and 302.09 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.69 : 1,101.32 = 302.09 : x
  2. Step 2: Convert to fraction form
    734.69/1,101.32 = 302.09/x
  3. Step 3: Cross multiply
    734.69x = 1,101.32 × 302.09
  4. Step 4: Simplify right side
    734.69x = 332,696.25
  5. Step 5: Solve for x
    x = 332,696.25/734.69
  6. Step 6: Final answer
    x = 452.84

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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.