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Finding the Fourth Proportional to 663.14, 914.74 and 439.08

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Solution

The fourth proportional to 663.14, 914.74 and 439.08 is: 605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.14 : 914.74 = 439.08 : x
  2. Step 2: Convert to fraction form
    663.14/914.74 = 439.08/x
  3. Step 3: Cross multiply
    663.14x = 914.74 × 439.08
  4. Step 4: Simplify right side
    663.14x = 401,644.04
  5. Step 5: Solve for x
    x = 401,644.04/663.14
  6. Step 6: Final answer
    x = 605.67

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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.