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Finding the Fourth Proportional to 493.57, 680.83 and 427.96

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Solution

The fourth proportional to 493.57, 680.83 and 427.96 is: 590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.57 : 680.83 = 427.96 : x
  2. Step 2: Convert to fraction form
    493.57/680.83 = 427.96/x
  3. Step 3: Cross multiply
    493.57x = 680.83 × 427.96
  4. Step 4: Simplify right side
    493.57x = 291,368.01
  5. Step 5: Solve for x
    x = 291,368.01/493.57
  6. Step 6: Final answer
    x = 590.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.