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Finding the Fourth Proportional to 758.44, 1,137.75 and 393.49

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Solution

The fourth proportional to 758.44, 1,137.75 and 393.49 is: 590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.44 : 1,137.75 = 393.49 : x
  2. Step 2: Convert to fraction form
    758.44/1,137.75 = 393.49/x
  3. Step 3: Cross multiply
    758.44x = 1,137.75 × 393.49
  4. Step 4: Simplify right side
    758.44x = 447,693.25
  5. Step 5: Solve for x
    x = 447,693.25/758.44
  6. Step 6: Final answer
    x = 590.28

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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.