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Finding the Fourth Proportional to 486.44, 726.19 and 469.35

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Solution

The fourth proportional to 486.44, 726.19 and 469.35 is: 700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 726.19 = 469.35 : x
  2. Step 2: Convert to fraction form
    486.44/726.19 = 469.35/x
  3. Step 3: Cross multiply
    486.44x = 726.19 × 469.35
  4. Step 4: Simplify right side
    486.44x = 340,838.65
  5. Step 5: Solve for x
    x = 340,838.65/486.44
  6. Step 6: Final answer
    x = 700.68

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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.