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Finding the Fourth Proportional to 604.76, 911.12 and 549.22

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Solution

The fourth proportional to 604.76, 911.12 and 549.22 is: 827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 911.12 = 549.22 : x
  2. Step 2: Convert to fraction form
    604.76/911.12 = 549.22/x
  3. Step 3: Cross multiply
    604.76x = 911.12 × 549.22
  4. Step 4: Simplify right side
    604.76x = 500,405.33
  5. Step 5: Solve for x
    x = 500,405.33/604.76
  6. Step 6: Final answer
    x = 827.44

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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.