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Finding the Fourth Proportional to 495.79, 742.43 and 380.09

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Solution

The fourth proportional to 495.79, 742.43 and 380.09 is: 569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.79 : 742.43 = 380.09 : x
  2. Step 2: Convert to fraction form
    495.79/742.43 = 380.09/x
  3. Step 3: Cross multiply
    495.79x = 742.43 × 380.09
  4. Step 4: Simplify right side
    495.79x = 282,193.03
  5. Step 5: Solve for x
    x = 282,193.03/495.79
  6. Step 6: Final answer
    x = 569.18

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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.