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Finding the Fourth Proportional to 1,955.29, 2,934.09 and 723.57

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Solution

The fourth proportional to 1,955.29, 2,934.09 and 723.57 is: 1,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.29 : 2,934.09 = 723.57 : x
  2. Step 2: Convert to fraction form
    1,955.29/2,934.09 = 723.57/x
  3. Step 3: Cross multiply
    1,955.29x = 2,934.09 × 723.57
  4. Step 4: Simplify right side
    1,955.29x = 2,123,019.50
  5. Step 5: Solve for x
    x = 2,123,019.50/1,955.29
  6. Step 6: Final answer
    x = 1,085.78

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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.