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Finding the Fourth Proportional to 495.35, 743.84 and 386.81

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Solution

The fourth proportional to 495.35, 743.84 and 386.81 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 743.84 = 386.81 : x
  2. Step 2: Convert to fraction form
    495.35/743.84 = 386.81/x
  3. Step 3: Cross multiply
    495.35x = 743.84 × 386.81
  4. Step 4: Simplify right side
    495.35x = 287,722.82
  5. Step 5: Solve for x
    x = 287,722.82/495.35
  6. Step 6: Final answer
    x = 580.85

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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.