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Finding the Fourth Proportional to 734.34, 1,100.73 and 295.47

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Solution

The fourth proportional to 734.34, 1,100.73 and 295.47 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.34 : 1,100.73 = 295.47 : x
  2. Step 2: Convert to fraction form
    734.34/1,100.73 = 295.47/x
  3. Step 3: Cross multiply
    734.34x = 1,100.73 × 295.47
  4. Step 4: Simplify right side
    734.34x = 325,232.69
  5. Step 5: Solve for x
    x = 325,232.69/734.34
  6. Step 6: Final answer
    x = 442.89

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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.