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Finding the Fourth Proportional to 1,723.29, 2,585.48 and 749.40

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Solution

The fourth proportional to 1,723.29, 2,585.48 and 749.40 is: 1,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.29 : 2,585.48 = 749.40 : x
  2. Step 2: Convert to fraction form
    1,723.29/2,585.48 = 749.40/x
  3. Step 3: Cross multiply
    1,723.29x = 2,585.48 × 749.40
  4. Step 4: Simplify right side
    1,723.29x = 1,937,554.97
  5. Step 5: Solve for x
    x = 1,937,554.97/1,723.29
  6. Step 6: Final answer
    x = 1,124.33

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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.