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Finding the Fourth Proportional to 548.40, 817.08 and 540.48

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Solution

The fourth proportional to 548.40, 817.08 and 540.48 is: 805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 817.08 = 540.48 : x
  2. Step 2: Convert to fraction form
    548.40/817.08 = 540.48/x
  3. Step 3: Cross multiply
    548.40x = 817.08 × 540.48
  4. Step 4: Simplify right side
    548.40x = 441,615.40
  5. Step 5: Solve for x
    x = 441,615.40/548.40
  6. Step 6: Final answer
    x = 805.28

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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.