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Finding the Fourth Proportional to 1,165.88, 1,747.39 and 548.76

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Solution

The fourth proportional to 1,165.88, 1,747.39 and 548.76 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.88 : 1,747.39 = 548.76 : x
  2. Step 2: Convert to fraction form
    1,165.88/1,747.39 = 548.76/x
  3. Step 3: Cross multiply
    1,165.88x = 1,747.39 × 548.76
  4. Step 4: Simplify right side
    1,165.88x = 958,896.36
  5. Step 5: Solve for x
    x = 958,896.36/1,165.88
  6. Step 6: Final answer
    x = 822.47

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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.