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Finding the Fourth Proportional to 1,331.31, 1,837.21 and 772.10

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Solution

The fourth proportional to 1,331.31, 1,837.21 and 772.10 is: 1,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.31 : 1,837.21 = 772.10 : x
  2. Step 2: Convert to fraction form
    1,331.31/1,837.21 = 772.10/x
  3. Step 3: Cross multiply
    1,331.31x = 1,837.21 × 772.10
  4. Step 4: Simplify right side
    1,331.31x = 1,418,511.56
  5. Step 5: Solve for x
    x = 1,418,511.56/1,331.31
  6. Step 6: Final answer
    x = 1,065.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.