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Finding the Fourth Proportional to 1,222.32, 1,829.82 and 832.71

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Solution

The fourth proportional to 1,222.32, 1,829.82 and 832.71 is: 1,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.32 : 1,829.82 = 832.71 : x
  2. Step 2: Convert to fraction form
    1,222.32/1,829.82 = 832.71/x
  3. Step 3: Cross multiply
    1,222.32x = 1,829.82 × 832.71
  4. Step 4: Simplify right side
    1,222.32x = 1,523,709.41
  5. Step 5: Solve for x
    x = 1,523,709.41/1,222.32
  6. Step 6: Final answer
    x = 1,246.57

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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.