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Finding the Fourth Proportional to 962.29, 1,441.81 and 757.09

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Solution

The fourth proportional to 962.29, 1,441.81 and 757.09 is: 1,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.29 : 1,441.81 = 757.09 : x
  2. Step 2: Convert to fraction form
    962.29/1,441.81 = 757.09/x
  3. Step 3: Cross multiply
    962.29x = 1,441.81 × 757.09
  4. Step 4: Simplify right side
    962.29x = 1,091,579.93
  5. Step 5: Solve for x
    x = 1,091,579.93/962.29
  6. Step 6: Final answer
    x = 1,134.36

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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.