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Finding the Fourth Proportional to 758.73, 1,138.28 and 412.41

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Solution

The fourth proportional to 758.73, 1,138.28 and 412.41 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.73 : 1,138.28 = 412.41 : x
  2. Step 2: Convert to fraction form
    758.73/1,138.28 = 412.41/x
  3. Step 3: Cross multiply
    758.73x = 1,138.28 × 412.41
  4. Step 4: Simplify right side
    758.73x = 469,438.05
  5. Step 5: Solve for x
    x = 469,438.05/758.73
  6. Step 6: Final answer
    x = 618.72

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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.