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Finding the Fourth Proportional to 548.30, 827.37 and 529.00

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Solution

The fourth proportional to 548.30, 827.37 and 529.00 is: 798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.30 : 827.37 = 529.00 : x
  2. Step 2: Convert to fraction form
    548.30/827.37 = 529.00/x
  3. Step 3: Cross multiply
    548.30x = 827.37 × 529.00
  4. Step 4: Simplify right side
    548.30x = 437,676.66
  5. Step 5: Solve for x
    x = 437,676.66/548.30
  6. Step 6: Final answer
    x = 798.24

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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.