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Finding the Fourth Proportional to 866.48, 1,293.40 and 762.68

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Solution

The fourth proportional to 866.48, 1,293.40 and 762.68 is: 1,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.48 : 1,293.40 = 762.68 : x
  2. Step 2: Convert to fraction form
    866.48/1,293.40 = 762.68/x
  3. Step 3: Cross multiply
    866.48x = 1,293.40 × 762.68
  4. Step 4: Simplify right side
    866.48x = 986,450.31
  5. Step 5: Solve for x
    x = 986,450.31/866.48
  6. Step 6: Final answer
    x = 1,138.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.