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Finding the Fourth Proportional to 549.60, 821.06 and 419.24

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Solution

The fourth proportional to 549.60, 821.06 and 419.24 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 821.06 = 419.24 : x
  2. Step 2: Convert to fraction form
    549.60/821.06 = 419.24/x
  3. Step 3: Cross multiply
    549.60x = 821.06 × 419.24
  4. Step 4: Simplify right side
    549.60x = 344,218.14
  5. Step 5: Solve for x
    x = 344,218.14/549.60
  6. Step 6: Final answer
    x = 626.31

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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.