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Finding the Fourth Proportional to 1,720.38, 2,581.04 and 746.62

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Solution

The fourth proportional to 1,720.38, 2,581.04 and 746.62 is: 1,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.38 : 2,581.04 = 746.62 : x
  2. Step 2: Convert to fraction form
    1,720.38/2,581.04 = 746.62/x
  3. Step 3: Cross multiply
    1,720.38x = 2,581.04 × 746.62
  4. Step 4: Simplify right side
    1,720.38x = 1,927,056.08
  5. Step 5: Solve for x
    x = 1,927,056.08/1,720.38
  6. Step 6: Final answer
    x = 1,120.13

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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.