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Finding the Fourth Proportional to 2,212.51, 3,318.48 and 569.08

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Solution

The fourth proportional to 2,212.51, 3,318.48 and 569.08 is: 853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.51 : 3,318.48 = 569.08 : x
  2. Step 2: Convert to fraction form
    2,212.51/3,318.48 = 569.08/x
  3. Step 3: Cross multiply
    2,212.51x = 3,318.48 × 569.08
  4. Step 4: Simplify right side
    2,212.51x = 1,888,480.60
  5. Step 5: Solve for x
    x = 1,888,480.60/2,212.51
  6. Step 6: Final answer
    x = 853.55

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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.