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Finding the Fourth Proportional to 734.88, 1,101.48 and 301.50

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Solution

The fourth proportional to 734.88, 1,101.48 and 301.50 is: 451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.88 : 1,101.48 = 301.50 : x
  2. Step 2: Convert to fraction form
    734.88/1,101.48 = 301.50/x
  3. Step 3: Cross multiply
    734.88x = 1,101.48 × 301.50
  4. Step 4: Simplify right side
    734.88x = 332,096.22
  5. Step 5: Solve for x
    x = 332,096.22/734.88
  6. Step 6: Final answer
    x = 451.91

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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.