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Finding the Fourth Proportional to 549.56, 827.60 and 478.28

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Solution

The fourth proportional to 549.56, 827.60 and 478.28 is: 720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 827.60 = 478.28 : x
  2. Step 2: Convert to fraction form
    549.56/827.60 = 478.28/x
  3. Step 3: Cross multiply
    549.56x = 827.60 × 478.28
  4. Step 4: Simplify right side
    549.56x = 395,824.53
  5. Step 5: Solve for x
    x = 395,824.53/549.56
  6. Step 6: Final answer
    x = 720.26

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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.