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Finding the Fourth Proportional to 782.36, 1,173.56 and 371.28

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Solution

The fourth proportional to 782.36, 1,173.56 and 371.28 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,173.56 = 371.28 : x
  2. Step 2: Convert to fraction form
    782.36/1,173.56 = 371.28/x
  3. Step 3: Cross multiply
    782.36x = 1,173.56 × 371.28
  4. Step 4: Simplify right side
    782.36x = 435,719.36
  5. Step 5: Solve for x
    x = 435,719.36/782.36
  6. Step 6: Final answer
    x = 556.93

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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.