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Finding the Fourth Proportional to 548.49, 821.13 and 287.87

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Solution

The fourth proportional to 548.49, 821.13 and 287.87 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.49 : 821.13 = 287.87 : x
  2. Step 2: Convert to fraction form
    548.49/821.13 = 287.87/x
  3. Step 3: Cross multiply
    548.49x = 821.13 × 287.87
  4. Step 4: Simplify right side
    548.49x = 236,378.69
  5. Step 5: Solve for x
    x = 236,378.69/548.49
  6. Step 6: Final answer
    x = 430.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.