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Finding the Fourth Proportional to 2,209.09, 3,313.64 and 565.63

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Solution

The fourth proportional to 2,209.09, 3,313.64 and 565.63 is: 848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.09 : 3,313.64 = 565.63 : x
  2. Step 2: Convert to fraction form
    2,209.09/3,313.64 = 565.63/x
  3. Step 3: Cross multiply
    2,209.09x = 3,313.64 × 565.63
  4. Step 4: Simplify right side
    2,209.09x = 1,874,291.37
  5. Step 5: Solve for x
    x = 1,874,291.37/2,209.09
  6. Step 6: Final answer
    x = 848.45

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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.