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Finding the Fourth Proportional to 486.65, 726.21 and 434.74

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Solution

The fourth proportional to 486.65, 726.21 and 434.74 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.65 : 726.21 = 434.74 : x
  2. Step 2: Convert to fraction form
    486.65/726.21 = 434.74/x
  3. Step 3: Cross multiply
    486.65x = 726.21 × 434.74
  4. Step 4: Simplify right side
    486.65x = 315,706.73
  5. Step 5: Solve for x
    x = 315,706.73/486.65
  6. Step 6: Final answer
    x = 648.74

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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.