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Finding the Fourth Proportional to 1,716.85, 2,575.97 and 621.30

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Solution

The fourth proportional to 1,716.85, 2,575.97 and 621.30 is: 932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.85 : 2,575.97 = 621.30 : x
  2. Step 2: Convert to fraction form
    1,716.85/2,575.97 = 621.30/x
  3. Step 3: Cross multiply
    1,716.85x = 2,575.97 × 621.30
  4. Step 4: Simplify right side
    1,716.85x = 1,600,450.16
  5. Step 5: Solve for x
    x = 1,600,450.16/1,716.85
  6. Step 6: Final answer
    x = 932.20

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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.