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Finding the Fourth Proportional to 1,012.30, 1,379.33 and 989.82

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Solution

The fourth proportional to 1,012.30, 1,379.33 and 989.82 is: 1,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.30 : 1,379.33 = 989.82 : x
  2. Step 2: Convert to fraction form
    1,012.30/1,379.33 = 989.82/x
  3. Step 3: Cross multiply
    1,012.30x = 1,379.33 × 989.82
  4. Step 4: Simplify right side
    1,012.30x = 1,365,287.18
  5. Step 5: Solve for x
    x = 1,365,287.18/1,012.30
  6. Step 6: Final answer
    x = 1,348.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.