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Finding the Fourth Proportional to 663.26, 914.73 and 414.32

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Solution

The fourth proportional to 663.26, 914.73 and 414.32 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.26 : 914.73 = 414.32 : x
  2. Step 2: Convert to fraction form
    663.26/914.73 = 414.32/x
  3. Step 3: Cross multiply
    663.26x = 914.73 × 414.32
  4. Step 4: Simplify right side
    663.26x = 378,990.93
  5. Step 5: Solve for x
    x = 378,990.93/663.26
  6. Step 6: Final answer
    x = 571.41

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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.