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Finding the Fourth Proportional to 548.40, 819.48 and 393.60

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Solution

The fourth proportional to 548.40, 819.48 and 393.60 is: 588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 819.48 = 393.60 : x
  2. Step 2: Convert to fraction form
    548.40/819.48 = 393.60/x
  3. Step 3: Cross multiply
    548.40x = 819.48 × 393.60
  4. Step 4: Simplify right side
    548.40x = 322,547.33
  5. Step 5: Solve for x
    x = 322,547.33/548.40
  6. Step 6: Final answer
    x = 588.16

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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.