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Finding the Fourth Proportional to 482.44, 727.15 and 456.04

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Solution

The fourth proportional to 482.44, 727.15 and 456.04 is: 687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.44 : 727.15 = 456.04 : x
  2. Step 2: Convert to fraction form
    482.44/727.15 = 456.04/x
  3. Step 3: Cross multiply
    482.44x = 727.15 × 456.04
  4. Step 4: Simplify right side
    482.44x = 331,609.49
  5. Step 5: Solve for x
    x = 331,609.49/482.44
  6. Step 6: Final answer
    x = 687.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.