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Finding the Fourth Proportional to 662.20, 913.49 and 437.91

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Solution

The fourth proportional to 662.20, 913.49 and 437.91 is: 604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 913.49 = 437.91 : x
  2. Step 2: Convert to fraction form
    662.20/913.49 = 437.91/x
  3. Step 3: Cross multiply
    662.20x = 913.49 × 437.91
  4. Step 4: Simplify right side
    662.20x = 400,026.41
  5. Step 5: Solve for x
    x = 400,026.41/662.20
  6. Step 6: Final answer
    x = 604.09

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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.