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Finding the Fourth Proportional to 486.92, 726.74 and 431.48

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Solution

The fourth proportional to 486.92, 726.74 and 431.48 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 726.74 = 431.48 : x
  2. Step 2: Convert to fraction form
    486.92/726.74 = 431.48/x
  3. Step 3: Cross multiply
    486.92x = 726.74 × 431.48
  4. Step 4: Simplify right side
    486.92x = 313,567.98
  5. Step 5: Solve for x
    x = 313,567.98/486.92
  6. Step 6: Final answer
    x = 643.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.