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Finding the Fourth Proportional to 758.67, 1,137.75 and 296.33

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Solution

The fourth proportional to 758.67, 1,137.75 and 296.33 is: 444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.67 : 1,137.75 = 296.33 : x
  2. Step 2: Convert to fraction form
    758.67/1,137.75 = 296.33/x
  3. Step 3: Cross multiply
    758.67x = 1,137.75 × 296.33
  4. Step 4: Simplify right side
    758.67x = 337,142.66
  5. Step 5: Solve for x
    x = 337,142.66/758.67
  6. Step 6: Final answer
    x = 444.39

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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.