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Finding the Fourth Proportional to 754.36, 1,131.43 and 358.94

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Solution

The fourth proportional to 754.36, 1,131.43 and 358.94 is: 538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,131.43 = 358.94 : x
  2. Step 2: Convert to fraction form
    754.36/1,131.43 = 358.94/x
  3. Step 3: Cross multiply
    754.36x = 1,131.43 × 358.94
  4. Step 4: Simplify right side
    754.36x = 406,115.48
  5. Step 5: Solve for x
    x = 406,115.48/754.36
  6. Step 6: Final answer
    x = 538.36

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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.