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Finding the Fourth Proportional to 996.49, 1,485.51 and 980.70

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Solution

The fourth proportional to 996.49, 1,485.51 and 980.70 is: 1,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.49 : 1,485.51 = 980.70 : x
  2. Step 2: Convert to fraction form
    996.49/1,485.51 = 980.70/x
  3. Step 3: Cross multiply
    996.49x = 1,485.51 × 980.70
  4. Step 4: Simplify right side
    996.49x = 1,456,839.66
  5. Step 5: Solve for x
    x = 1,456,839.66/996.49
  6. Step 6: Final answer
    x = 1,461.97

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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.