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Finding the Fourth Proportional to 557.87, 843.12 and 548.28

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Solution

The fourth proportional to 557.87, 843.12 and 548.28 is: 828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.87 : 843.12 = 548.28 : x
  2. Step 2: Convert to fraction form
    557.87/843.12 = 548.28/x
  3. Step 3: Cross multiply
    557.87x = 843.12 × 548.28
  4. Step 4: Simplify right side
    557.87x = 462,265.83
  5. Step 5: Solve for x
    x = 462,265.83/557.87
  6. Step 6: Final answer
    x = 828.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.