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Finding the Fourth Proportional to 486.36, 725.22 and 480.24

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Solution

The fourth proportional to 486.36, 725.22 and 480.24 is: 716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.36 : 725.22 = 480.24 : x
  2. Step 2: Convert to fraction form
    486.36/725.22 = 480.24/x
  3. Step 3: Cross multiply
    486.36x = 725.22 × 480.24
  4. Step 4: Simplify right side
    486.36x = 348,279.65
  5. Step 5: Solve for x
    x = 348,279.65/486.36
  6. Step 6: Final answer
    x = 716.09

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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.