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Finding the Fourth Proportional to 574.56, 855.90 and 548.13

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Solution

The fourth proportional to 574.56, 855.90 and 548.13 is: 816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 855.90 = 548.13 : x
  2. Step 2: Convert to fraction form
    574.56/855.90 = 548.13/x
  3. Step 3: Cross multiply
    574.56x = 855.90 × 548.13
  4. Step 4: Simplify right side
    574.56x = 469,144.47
  5. Step 5: Solve for x
    x = 469,144.47/574.56
  6. Step 6: Final answer
    x = 816.53

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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.