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Finding the Fourth Proportional to 1,720.83, 2,580.20 and 795.14

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Solution

The fourth proportional to 1,720.83, 2,580.20 and 795.14 is: 1,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.83 : 2,580.20 = 795.14 : x
  2. Step 2: Convert to fraction form
    1,720.83/2,580.20 = 795.14/x
  3. Step 3: Cross multiply
    1,720.83x = 2,580.20 × 795.14
  4. Step 4: Simplify right side
    1,720.83x = 2,051,620.23
  5. Step 5: Solve for x
    x = 2,051,620.23/1,720.83
  6. Step 6: Final answer
    x = 1,192.23

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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.