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Finding the Fourth Proportional to 663.23, 914.71 and 414.08

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Solution

The fourth proportional to 663.23, 914.71 and 414.08 is: 571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.23 : 914.71 = 414.08 : x
  2. Step 2: Convert to fraction form
    663.23/914.71 = 414.08/x
  3. Step 3: Cross multiply
    663.23x = 914.71 × 414.08
  4. Step 4: Simplify right side
    663.23x = 378,763.12
  5. Step 5: Solve for x
    x = 378,763.12/663.23
  6. Step 6: Final answer
    x = 571.09

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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.