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Finding the Fourth Proportional to 989, 1,363.72 and 814.04

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Solution

The fourth proportional to 989, 1,363.72 and 814.04 is: 1,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    989 : 1,363.72 = 814.04 : x
  2. Step 2: Convert to fraction form
    989/1,363.72 = 814.04/x
  3. Step 3: Cross multiply
    989x = 1,363.72 × 814.04
  4. Step 4: Simplify right side
    989x = 1,110,122.63
  5. Step 5: Solve for x
    x = 1,110,122.63/989
  6. Step 6: Final answer
    x = 1,122.47

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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.