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Finding the Fourth Proportional to 494.75, 683.73 and 406.09

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Solution

The fourth proportional to 494.75, 683.73 and 406.09 is: 561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 683.73 = 406.09 : x
  2. Step 2: Convert to fraction form
    494.75/683.73 = 406.09/x
  3. Step 3: Cross multiply
    494.75x = 683.73 × 406.09
  4. Step 4: Simplify right side
    494.75x = 277,655.92
  5. Step 5: Solve for x
    x = 277,655.92/494.75
  6. Step 6: Final answer
    x = 561.20

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Find fourth proportional to 247.38, 341.87 and 203.05
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.