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Finding the Fourth Proportional to 544.90, 820.43 and 480.32

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Solution

The fourth proportional to 544.90, 820.43 and 480.32 is: 723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.90 : 820.43 = 480.32 : x
  2. Step 2: Convert to fraction form
    544.90/820.43 = 480.32/x
  3. Step 3: Cross multiply
    544.90x = 820.43 × 480.32
  4. Step 4: Simplify right side
    544.90x = 394,068.18
  5. Step 5: Solve for x
    x = 394,068.18/544.90
  6. Step 6: Final answer
    x = 723.19

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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.