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Finding the Fourth Proportional to 734.76, 1,102.28 and 323.84

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Solution

The fourth proportional to 734.76, 1,102.28 and 323.84 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,102.28 = 323.84 : x
  2. Step 2: Convert to fraction form
    734.76/1,102.28 = 323.84/x
  3. Step 3: Cross multiply
    734.76x = 1,102.28 × 323.84
  4. Step 4: Simplify right side
    734.76x = 356,962.36
  5. Step 5: Solve for x
    x = 356,962.36/734.76
  6. Step 6: Final answer
    x = 485.82

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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.