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Finding the Fourth Proportional to 1,222.55, 1,832.24 and 783.63

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Solution

The fourth proportional to 1,222.55, 1,832.24 and 783.63 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.55 : 1,832.24 = 783.63 : x
  2. Step 2: Convert to fraction form
    1,222.55/1,832.24 = 783.63/x
  3. Step 3: Cross multiply
    1,222.55x = 1,832.24 × 783.63
  4. Step 4: Simplify right side
    1,222.55x = 1,435,794.31
  5. Step 5: Solve for x
    x = 1,435,794.31/1,222.55
  6. Step 6: Final answer
    x = 1,174.43

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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.