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Finding the Fourth Proportional to 1,662.52, 2,294.28 and 999.75

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Solution

The fourth proportional to 1,662.52, 2,294.28 and 999.75 is: 1,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.52 : 2,294.28 = 999.75 : x
  2. Step 2: Convert to fraction form
    1,662.52/2,294.28 = 999.75/x
  3. Step 3: Cross multiply
    1,662.52x = 2,294.28 × 999.75
  4. Step 4: Simplify right side
    1,662.52x = 2,293,706.43
  5. Step 5: Solve for x
    x = 2,293,706.43/1,662.52
  6. Step 6: Final answer
    x = 1,379.66

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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.