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Finding the Fourth Proportional to 782.80, 1,173.72 and 371.38

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Solution

The fourth proportional to 782.80, 1,173.72 and 371.38 is: 556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.80 : 1,173.72 = 371.38 : x
  2. Step 2: Convert to fraction form
    782.80/1,173.72 = 371.38/x
  3. Step 3: Cross multiply
    782.80x = 1,173.72 × 371.38
  4. Step 4: Simplify right side
    782.80x = 435,896.13
  5. Step 5: Solve for x
    x = 435,896.13/782.80
  6. Step 6: Final answer
    x = 556.84

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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.