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Finding the Fourth Proportional to 782.38, 1,173.82 and 548.36

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Solution

The fourth proportional to 782.38, 1,173.82 and 548.36 is: 822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,173.82 = 548.36 : x
  2. Step 2: Convert to fraction form
    782.38/1,173.82 = 548.36/x
  3. Step 3: Cross multiply
    782.38x = 1,173.82 × 548.36
  4. Step 4: Simplify right side
    782.38x = 643,675.94
  5. Step 5: Solve for x
    x = 643,675.94/782.38
  6. Step 6: Final answer
    x = 822.72

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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.