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Finding the Fourth Proportional to 495.74, 744.42 and 427.70

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Solution

The fourth proportional to 495.74, 744.42 and 427.70 is: 642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 744.42 = 427.70 : x
  2. Step 2: Convert to fraction form
    495.74/744.42 = 427.70/x
  3. Step 3: Cross multiply
    495.74x = 744.42 × 427.70
  4. Step 4: Simplify right side
    495.74x = 318,388.43
  5. Step 5: Solve for x
    x = 318,388.43/495.74
  6. Step 6: Final answer
    x = 642.25

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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.