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Finding the Fourth Proportional to 549.12, 828.04 and 541.80

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Solution

The fourth proportional to 549.12, 828.04 and 541.80 is: 817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 828.04 = 541.80 : x
  2. Step 2: Convert to fraction form
    549.12/828.04 = 541.80/x
  3. Step 3: Cross multiply
    549.12x = 828.04 × 541.80
  4. Step 4: Simplify right side
    549.12x = 448,632.07
  5. Step 5: Solve for x
    x = 448,632.07/549.12
  6. Step 6: Final answer
    x = 817.00

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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.