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Finding the Fourth Proportional to 996.84, 1,488.14 and 989.96

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Solution

The fourth proportional to 996.84, 1,488.14 and 989.96 is: 1,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.84 : 1,488.14 = 989.96 : x
  2. Step 2: Convert to fraction form
    996.84/1,488.14 = 989.96/x
  3. Step 3: Cross multiply
    996.84x = 1,488.14 × 989.96
  4. Step 4: Simplify right side
    996.84x = 1,473,190.40
  5. Step 5: Solve for x
    x = 1,473,190.40/996.84
  6. Step 6: Final answer
    x = 1,477.86

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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.