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Finding the Fourth Proportional to 737.23, 1,105.81 and 286.46

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Solution

The fourth proportional to 737.23, 1,105.81 and 286.46 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.23 : 1,105.81 = 286.46 : x
  2. Step 2: Convert to fraction form
    737.23/1,105.81 = 286.46/x
  3. Step 3: Cross multiply
    737.23x = 1,105.81 × 286.46
  4. Step 4: Simplify right side
    737.23x = 316,772.38
  5. Step 5: Solve for x
    x = 316,772.38/737.23
  6. Step 6: Final answer
    x = 429.68

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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.