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Finding the Fourth Proportional to 511.26, 761.69 and 493.86

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Solution

The fourth proportional to 511.26, 761.69 and 493.86 is: 735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 761.69 = 493.86 : x
  2. Step 2: Convert to fraction form
    511.26/761.69 = 493.86/x
  3. Step 3: Cross multiply
    511.26x = 761.69 × 493.86
  4. Step 4: Simplify right side
    511.26x = 376,165.75
  5. Step 5: Solve for x
    x = 376,165.75/511.26
  6. Step 6: Final answer
    x = 735.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.