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Finding the Fourth Proportional to 1,351.43, 1,864.98 and 792.23

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Solution

The fourth proportional to 1,351.43, 1,864.98 and 792.23 is: 1,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.43 : 1,864.98 = 792.23 : x
  2. Step 2: Convert to fraction form
    1,351.43/1,864.98 = 792.23/x
  3. Step 3: Cross multiply
    1,351.43x = 1,864.98 × 792.23
  4. Step 4: Simplify right side
    1,351.43x = 1,477,483.78
  5. Step 5: Solve for x
    x = 1,477,483.78/1,351.43
  6. Step 6: Final answer
    x = 1,093.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.