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Finding the Fourth Proportional to 549.85, 821.43 and 419.48

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Solution

The fourth proportional to 549.85, 821.43 and 419.48 is: 626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.85 : 821.43 = 419.48 : x
  2. Step 2: Convert to fraction form
    549.85/821.43 = 419.48/x
  3. Step 3: Cross multiply
    549.85x = 821.43 × 419.48
  4. Step 4: Simplify right side
    549.85x = 344,573.46
  5. Step 5: Solve for x
    x = 344,573.46/549.85
  6. Step 6: Final answer
    x = 626.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.