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Finding the Fourth Proportional to 495.96, 746.94 and 419.46

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Solution

The fourth proportional to 495.96, 746.94 and 419.46 is: 631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 746.94 = 419.46 : x
  2. Step 2: Convert to fraction form
    495.96/746.94 = 419.46/x
  3. Step 3: Cross multiply
    495.96x = 746.94 × 419.46
  4. Step 4: Simplify right side
    495.96x = 313,311.45
  5. Step 5: Solve for x
    x = 313,311.45/495.96
  6. Step 6: Final answer
    x = 631.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.