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Finding the Fourth Proportional to 1,292.38, 1,784.04 and 872.98

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Solution

The fourth proportional to 1,292.38, 1,784.04 and 872.98 is: 1,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.38 : 1,784.04 = 872.98 : x
  2. Step 2: Convert to fraction form
    1,292.38/1,784.04 = 872.98/x
  3. Step 3: Cross multiply
    1,292.38x = 1,784.04 × 872.98
  4. Step 4: Simplify right side
    1,292.38x = 1,557,431.24
  5. Step 5: Solve for x
    x = 1,557,431.24/1,292.38
  6. Step 6: Final answer
    x = 1,205.09

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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.