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Finding the Fourth Proportional to 662.70, 914.62 and 414.26

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Solution

The fourth proportional to 662.70, 914.62 and 414.26 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.70 : 914.62 = 414.26 : x
  2. Step 2: Convert to fraction form
    662.70/914.62 = 414.26/x
  3. Step 3: Cross multiply
    662.70x = 914.62 × 414.26
  4. Step 4: Simplify right side
    662.70x = 378,890.48
  5. Step 5: Solve for x
    x = 378,890.48/662.70
  6. Step 6: Final answer
    x = 571.74

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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.