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Finding the Fourth Proportional to 737.28, 1,104.46 and 390.10

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Solution

The fourth proportional to 737.28, 1,104.46 and 390.10 is: 584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.28 : 1,104.46 = 390.10 : x
  2. Step 2: Convert to fraction form
    737.28/1,104.46 = 390.10/x
  3. Step 3: Cross multiply
    737.28x = 1,104.46 × 390.10
  4. Step 4: Simplify right side
    737.28x = 430,849.85
  5. Step 5: Solve for x
    x = 430,849.85/737.28
  6. Step 6: Final answer
    x = 584.38

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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.