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Finding the Fourth Proportional to 662.70, 914.56 and 414.02

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Solution

The fourth proportional to 662.70, 914.56 and 414.02 is: 571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.70 : 914.56 = 414.02 : x
  2. Step 2: Convert to fraction form
    662.70/914.56 = 414.02/x
  3. Step 3: Cross multiply
    662.70x = 914.56 × 414.02
  4. Step 4: Simplify right side
    662.70x = 378,646.13
  5. Step 5: Solve for x
    x = 378,646.13/662.70
  6. Step 6: Final answer
    x = 571.37

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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.