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Finding the Fourth Proportional to 758.43, 1,137.20 and 264.60

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Solution

The fourth proportional to 758.43, 1,137.20 and 264.60 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.43 : 1,137.20 = 264.60 : x
  2. Step 2: Convert to fraction form
    758.43/1,137.20 = 264.60/x
  3. Step 3: Cross multiply
    758.43x = 1,137.20 × 264.60
  4. Step 4: Simplify right side
    758.43x = 300,901.80
  5. Step 5: Solve for x
    x = 300,901.80/758.43
  6. Step 6: Final answer
    x = 396.74

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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.