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Finding the Fourth Proportional to 737.84, 1,106.62 and 299.07

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Solution

The fourth proportional to 737.84, 1,106.62 and 299.07 is: 448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.84 : 1,106.62 = 299.07 : x
  2. Step 2: Convert to fraction form
    737.84/1,106.62 = 299.07/x
  3. Step 3: Cross multiply
    737.84x = 1,106.62 × 299.07
  4. Step 4: Simplify right side
    737.84x = 330,956.84
  5. Step 5: Solve for x
    x = 330,956.84/737.84
  6. Step 6: Final answer
    x = 448.55

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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.