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Finding the Fourth Proportional to 486.70, 726.30 and 434.80

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Solution

The fourth proportional to 486.70, 726.30 and 434.80 is: 648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.70 : 726.30 = 434.80 : x
  2. Step 2: Convert to fraction form
    486.70/726.30 = 434.80/x
  3. Step 3: Cross multiply
    486.70x = 726.30 × 434.80
  4. Step 4: Simplify right side
    486.70x = 315,795.24
  5. Step 5: Solve for x
    x = 315,795.24/486.70
  6. Step 6: Final answer
    x = 648.85

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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.