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Finding the Fourth Proportional to 1,720.13, 2,580.20 and 694.13

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Solution

The fourth proportional to 1,720.13, 2,580.20 and 694.13 is: 1,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.13 : 2,580.20 = 694.13 : x
  2. Step 2: Convert to fraction form
    1,720.13/2,580.20 = 694.13/x
  3. Step 3: Cross multiply
    1,720.13x = 2,580.20 × 694.13
  4. Step 4: Simplify right side
    1,720.13x = 1,790,977.85
  5. Step 5: Solve for x
    x = 1,790,977.85/1,720.13
  6. Step 6: Final answer
    x = 1,041.19

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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.