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Finding the Fourth Proportional to 549.40, 819.25 and 544.46

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Solution

The fourth proportional to 549.40, 819.25 and 544.46 is: 811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 819.25 = 544.46 : x
  2. Step 2: Convert to fraction form
    549.40/819.25 = 544.46/x
  3. Step 3: Cross multiply
    549.40x = 819.25 × 544.46
  4. Step 4: Simplify right side
    549.40x = 446,048.51
  5. Step 5: Solve for x
    x = 446,048.51/549.40
  6. Step 6: Final answer
    x = 811.89

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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.