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Finding the Fourth Proportional to 994.31, 1,373.60 and 785.87

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Solution

The fourth proportional to 994.31, 1,373.60 and 785.87 is: 1,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.31 : 1,373.60 = 785.87 : x
  2. Step 2: Convert to fraction form
    994.31/1,373.60 = 785.87/x
  3. Step 3: Cross multiply
    994.31x = 1,373.60 × 785.87
  4. Step 4: Simplify right side
    994.31x = 1,079,471.03
  5. Step 5: Solve for x
    x = 1,079,471.03/994.31
  6. Step 6: Final answer
    x = 1,085.65

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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.