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Finding the Fourth Proportional to 548.13, 755.54 and 502.88

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Solution

The fourth proportional to 548.13, 755.54 and 502.88 is: 693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.13 : 755.54 = 502.88 : x
  2. Step 2: Convert to fraction form
    548.13/755.54 = 502.88/x
  3. Step 3: Cross multiply
    548.13x = 755.54 × 502.88
  4. Step 4: Simplify right side
    548.13x = 379,939.66
  5. Step 5: Solve for x
    x = 379,939.66/548.13
  6. Step 6: Final answer
    x = 693.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.