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Finding the Fourth Proportional to 495.45, 742.47 and 364.43

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Solution

The fourth proportional to 495.45, 742.47 and 364.43 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.45 : 742.47 = 364.43 : x
  2. Step 2: Convert to fraction form
    495.45/742.47 = 364.43/x
  3. Step 3: Cross multiply
    495.45x = 742.47 × 364.43
  4. Step 4: Simplify right side
    495.45x = 270,578.34
  5. Step 5: Solve for x
    x = 270,578.34/495.45
  6. Step 6: Final answer
    x = 546.13

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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.