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Finding the Fourth Proportional to 751, 1,126.68 and 264.46

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Solution

The fourth proportional to 751, 1,126.68 and 264.46 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    751 : 1,126.68 = 264.46 : x
  2. Step 2: Convert to fraction form
    751/1,126.68 = 264.46/x
  3. Step 3: Cross multiply
    751x = 1,126.68 × 264.46
  4. Step 4: Simplify right side
    751x = 297,961.79
  5. Step 5: Solve for x
    x = 297,961.79/751
  6. Step 6: Final answer
    x = 396.75

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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.