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Finding the Fourth Proportional to 549.06, 826.38 and 412.80

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Solution

The fourth proportional to 549.06, 826.38 and 412.80 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.06 : 826.38 = 412.80 : x
  2. Step 2: Convert to fraction form
    549.06/826.38 = 412.80/x
  3. Step 3: Cross multiply
    549.06x = 826.38 × 412.80
  4. Step 4: Simplify right side
    549.06x = 341,129.66
  5. Step 5: Solve for x
    x = 341,129.66/549.06
  6. Step 6: Final answer
    x = 621.30

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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.