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Finding the Fourth Proportional to 1,051.25, 1,576.89 and 367.25

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Solution

The fourth proportional to 1,051.25, 1,576.89 and 367.25 is: 550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.25 : 1,576.89 = 367.25 : x
  2. Step 2: Convert to fraction form
    1,051.25/1,576.89 = 367.25/x
  3. Step 3: Cross multiply
    1,051.25x = 1,576.89 × 367.25
  4. Step 4: Simplify right side
    1,051.25x = 579,112.85
  5. Step 5: Solve for x
    x = 579,112.85/1,051.25
  6. Step 6: Final answer
    x = 550.88

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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.