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Finding the Fourth Proportional to 931.98, 1,286.19 and 776.46

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Solution

The fourth proportional to 931.98, 1,286.19 and 776.46 is: 1,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.98 : 1,286.19 = 776.46 : x
  2. Step 2: Convert to fraction form
    931.98/1,286.19 = 776.46/x
  3. Step 3: Cross multiply
    931.98x = 1,286.19 × 776.46
  4. Step 4: Simplify right side
    931.98x = 998,675.09
  5. Step 5: Solve for x
    x = 998,675.09/931.98
  6. Step 6: Final answer
    x = 1,071.56

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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.