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Finding the Fourth Proportional to 1,954.29, 2,932.59 and 722.57

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Solution

The fourth proportional to 1,954.29, 2,932.59 and 722.57 is: 1,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.29 : 2,932.59 = 722.57 : x
  2. Step 2: Convert to fraction form
    1,954.29/2,932.59 = 722.57/x
  3. Step 3: Cross multiply
    1,954.29x = 2,932.59 × 722.57
  4. Step 4: Simplify right side
    1,954.29x = 2,119,001.56
  5. Step 5: Solve for x
    x = 2,119,001.56/1,954.29
  6. Step 6: Final answer
    x = 1,084.28

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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.