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Finding the Fourth Proportional to 1,129.83, 1,693.31 and 982.97

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Solution

The fourth proportional to 1,129.83, 1,693.31 and 982.97 is: 1,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.83 : 1,693.31 = 982.97 : x
  2. Step 2: Convert to fraction form
    1,129.83/1,693.31 = 982.97/x
  3. Step 3: Cross multiply
    1,129.83x = 1,693.31 × 982.97
  4. Step 4: Simplify right side
    1,129.83x = 1,664,465.90
  5. Step 5: Solve for x
    x = 1,664,465.90/1,129.83
  6. Step 6: Final answer
    x = 1,473.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.