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Finding the Fourth Proportional to 1,722.56, 2,584.16 and 569.12

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Solution

The fourth proportional to 1,722.56, 2,584.16 and 569.12 is: 853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.56 : 2,584.16 = 569.12 : x
  2. Step 2: Convert to fraction form
    1,722.56/2,584.16 = 569.12/x
  3. Step 3: Cross multiply
    1,722.56x = 2,584.16 × 569.12
  4. Step 4: Simplify right side
    1,722.56x = 1,470,697.14
  5. Step 5: Solve for x
    x = 1,470,697.14/1,722.56
  6. Step 6: Final answer
    x = 853.79

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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.