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Finding the Fourth Proportional to 734.37, 1,100.12 and 387.18

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Solution

The fourth proportional to 734.37, 1,100.12 and 387.18 is: 580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.37 : 1,100.12 = 387.18 : x
  2. Step 2: Convert to fraction form
    734.37/1,100.12 = 387.18/x
  3. Step 3: Cross multiply
    734.37x = 1,100.12 × 387.18
  4. Step 4: Simplify right side
    734.37x = 425,942.53
  5. Step 5: Solve for x
    x = 425,942.53/734.37
  6. Step 6: Final answer
    x = 580.01

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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.