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Finding the Fourth Proportional to 480.26, 721.61 and 448.02

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Solution

The fourth proportional to 480.26, 721.61 and 448.02 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.26 : 721.61 = 448.02 : x
  2. Step 2: Convert to fraction form
    480.26/721.61 = 448.02/x
  3. Step 3: Cross multiply
    480.26x = 721.61 × 448.02
  4. Step 4: Simplify right side
    480.26x = 323,292.10
  5. Step 5: Solve for x
    x = 323,292.10/480.26
  6. Step 6: Final answer
    x = 673.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.