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Finding the Fourth Proportional to 994.48, 1,372.82 and 716.11

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Solution

The fourth proportional to 994.48, 1,372.82 and 716.11 is: 988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.48 : 1,372.82 = 716.11 : x
  2. Step 2: Convert to fraction form
    994.48/1,372.82 = 716.11/x
  3. Step 3: Cross multiply
    994.48x = 1,372.82 × 716.11
  4. Step 4: Simplify right side
    994.48x = 983,091.92
  5. Step 5: Solve for x
    x = 983,091.92/994.48
  6. Step 6: Final answer
    x = 988.55

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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.