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Finding the Fourth Proportional to 508.62, 758.85 and 493.82

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Solution

The fourth proportional to 508.62, 758.85 and 493.82 is: 736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.62 : 758.85 = 493.82 : x
  2. Step 2: Convert to fraction form
    508.62/758.85 = 493.82/x
  3. Step 3: Cross multiply
    508.62x = 758.85 × 493.82
  4. Step 4: Simplify right side
    508.62x = 374,735.31
  5. Step 5: Solve for x
    x = 374,735.31/508.62
  6. Step 6: Final answer
    x = 736.77

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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.