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Finding the Fourth Proportional to 992.87, 1,489.32 and 684.64

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Solution

The fourth proportional to 992.87, 1,489.32 and 684.64 is: 1,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.87 : 1,489.32 = 684.64 : x
  2. Step 2: Convert to fraction form
    992.87/1,489.32 = 684.64/x
  3. Step 3: Cross multiply
    992.87x = 1,489.32 × 684.64
  4. Step 4: Simplify right side
    992.87x = 1,019,654.10
  5. Step 5: Solve for x
    x = 1,019,654.10/992.87
  6. Step 6: Final answer
    x = 1,026.97

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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.