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Finding the Fourth Proportional to 737.60, 1,105.17 and 390.44

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Solution

The fourth proportional to 737.60, 1,105.17 and 390.44 is: 585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.60 : 1,105.17 = 390.44 : x
  2. Step 2: Convert to fraction form
    737.60/1,105.17 = 390.44/x
  3. Step 3: Cross multiply
    737.60x = 1,105.17 × 390.44
  4. Step 4: Simplify right side
    737.60x = 431,502.57
  5. Step 5: Solve for x
    x = 431,502.57/737.60
  6. Step 6: Final answer
    x = 585.01

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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.