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Finding the Fourth Proportional to 1,371.31, 2,057.13 and 446.62

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Solution

The fourth proportional to 1,371.31, 2,057.13 and 446.62 is: 669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.31 : 2,057.13 = 446.62 : x
  2. Step 2: Convert to fraction form
    1,371.31/2,057.13 = 446.62/x
  3. Step 3: Cross multiply
    1,371.31x = 2,057.13 × 446.62
  4. Step 4: Simplify right side
    1,371.31x = 918,750.26
  5. Step 5: Solve for x
    x = 918,750.26/1,371.31
  6. Step 6: Final answer
    x = 669.98

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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.