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Finding the Fourth Proportional to 496.96, 742.09 and 405.83

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Solution

The fourth proportional to 496.96, 742.09 and 405.83 is: 606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 742.09 = 405.83 : x
  2. Step 2: Convert to fraction form
    496.96/742.09 = 405.83/x
  3. Step 3: Cross multiply
    496.96x = 742.09 × 405.83
  4. Step 4: Simplify right side
    496.96x = 301,160.36
  5. Step 5: Solve for x
    x = 301,160.36/496.96
  6. Step 6: Final answer
    x = 606.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.