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Finding the Fourth Proportional to 495.29, 743.36 and 386.30

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Solution

The fourth proportional to 495.29, 743.36 and 386.30 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 743.36 = 386.30 : x
  2. Step 2: Convert to fraction form
    495.29/743.36 = 386.30/x
  3. Step 3: Cross multiply
    495.29x = 743.36 × 386.30
  4. Step 4: Simplify right side
    495.29x = 287,156.25
  5. Step 5: Solve for x
    x = 287,156.25/495.29
  6. Step 6: Final answer
    x = 579.78

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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.