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Finding the Fourth Proportional to 1,222.11, 1,832.28 and 572.49

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Solution

The fourth proportional to 1,222.11, 1,832.28 and 572.49 is: 858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.11 : 1,832.28 = 572.49 : x
  2. Step 2: Convert to fraction form
    1,222.11/1,832.28 = 572.49/x
  3. Step 3: Cross multiply
    1,222.11x = 1,832.28 × 572.49
  4. Step 4: Simplify right side
    1,222.11x = 1,048,952.82
  5. Step 5: Solve for x
    x = 1,048,952.82/1,222.11
  6. Step 6: Final answer
    x = 858.32

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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.