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Finding the Fourth Proportional to 1,717.96, 2,577.14 and 622.84

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Solution

The fourth proportional to 1,717.96, 2,577.14 and 622.84 is: 934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.96 : 2,577.14 = 622.84 : x
  2. Step 2: Convert to fraction form
    1,717.96/2,577.14 = 622.84/x
  3. Step 3: Cross multiply
    1,717.96x = 2,577.14 × 622.84
  4. Step 4: Simplify right side
    1,717.96x = 1,605,145.88
  5. Step 5: Solve for x
    x = 1,605,145.88/1,717.96
  6. Step 6: Final answer
    x = 934.33

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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.