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Finding the Fourth Proportional to 494.07, 743.85 and 436.62

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Solution

The fourth proportional to 494.07, 743.85 and 436.62 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 743.85 = 436.62 : x
  2. Step 2: Convert to fraction form
    494.07/743.85 = 436.62/x
  3. Step 3: Cross multiply
    494.07x = 743.85 × 436.62
  4. Step 4: Simplify right side
    494.07x = 324,779.79
  5. Step 5: Solve for x
    x = 324,779.79/494.07
  6. Step 6: Final answer
    x = 657.36

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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.