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Finding the Fourth Proportional to 1,363.08, 1,881.70 and 865.96

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Solution

The fourth proportional to 1,363.08, 1,881.70 and 865.96 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.08 : 1,881.70 = 865.96 : x
  2. Step 2: Convert to fraction form
    1,363.08/1,881.70 = 865.96/x
  3. Step 3: Cross multiply
    1,363.08x = 1,881.70 × 865.96
  4. Step 4: Simplify right side
    1,363.08x = 1,629,476.93
  5. Step 5: Solve for x
    x = 1,629,476.93/1,363.08
  6. Step 6: Final answer
    x = 1,195.44

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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.