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Finding the Fourth Proportional to 435.39, 600.09 and 414.89

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Solution

The fourth proportional to 435.39, 600.09 and 414.89 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.39 : 600.09 = 414.89 : x
  2. Step 2: Convert to fraction form
    435.39/600.09 = 414.89/x
  3. Step 3: Cross multiply
    435.39x = 600.09 × 414.89
  4. Step 4: Simplify right side
    435.39x = 248,968.34
  5. Step 5: Solve for x
    x = 248,968.34/435.39
  6. Step 6: Final answer
    x = 571.83

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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.