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Finding the Fourth Proportional to 734.11, 1,101.21 and 271.87

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Solution

The fourth proportional to 734.11, 1,101.21 and 271.87 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.11 : 1,101.21 = 271.87 : x
  2. Step 2: Convert to fraction form
    734.11/1,101.21 = 271.87/x
  3. Step 3: Cross multiply
    734.11x = 1,101.21 × 271.87
  4. Step 4: Simplify right side
    734.11x = 299,384.60
  5. Step 5: Solve for x
    x = 299,384.60/734.11
  6. Step 6: Final answer
    x = 407.82

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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.