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Finding the Fourth Proportional to 508.82, 761.64 and 353.96

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Solution

The fourth proportional to 508.82, 761.64 and 353.96 is: 529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.82 : 761.64 = 353.96 : x
  2. Step 2: Convert to fraction form
    508.82/761.64 = 353.96/x
  3. Step 3: Cross multiply
    508.82x = 761.64 × 353.96
  4. Step 4: Simplify right side
    508.82x = 269,590.09
  5. Step 5: Solve for x
    x = 269,590.09/508.82
  6. Step 6: Final answer
    x = 529.83

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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.