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Finding the Fourth Proportional to 1,359.91, 1,876.76 and 762.46

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Solution

The fourth proportional to 1,359.91, 1,876.76 and 762.46 is: 1,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.91 : 1,876.76 = 762.46 : x
  2. Step 2: Convert to fraction form
    1,359.91/1,876.76 = 762.46/x
  3. Step 3: Cross multiply
    1,359.91x = 1,876.76 × 762.46
  4. Step 4: Simplify right side
    1,359.91x = 1,430,954.43
  5. Step 5: Solve for x
    x = 1,430,954.43/1,359.91
  6. Step 6: Final answer
    x = 1,052.24

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