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Finding the Fourth Proportional to 493.62, 737.27 and 385.62

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Solution

The fourth proportional to 493.62, 737.27 and 385.62 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 737.27 = 385.62 : x
  2. Step 2: Convert to fraction form
    493.62/737.27 = 385.62/x
  3. Step 3: Cross multiply
    493.62x = 737.27 × 385.62
  4. Step 4: Simplify right side
    493.62x = 284,304.13
  5. Step 5: Solve for x
    x = 284,304.13/493.62
  6. Step 6: Final answer
    x = 575.96

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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.