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Finding the Fourth Proportional to 1,721.15, 2,582.09 and 566.75

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Solution

The fourth proportional to 1,721.15, 2,582.09 and 566.75 is: 850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.15 : 2,582.09 = 566.75 : x
  2. Step 2: Convert to fraction form
    1,721.15/2,582.09 = 566.75/x
  3. Step 3: Cross multiply
    1,721.15x = 2,582.09 × 566.75
  4. Step 4: Simplify right side
    1,721.15x = 1,463,396.67
  5. Step 5: Solve for x
    x = 1,463,396.67/1,721.15
  6. Step 6: Final answer
    x = 850.24

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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.