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Finding the Fourth Proportional to 1,295.67, 1,942.13 and 883.79

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Solution

The fourth proportional to 1,295.67, 1,942.13 and 883.79 is: 1,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.67 : 1,942.13 = 883.79 : x
  2. Step 2: Convert to fraction form
    1,295.67/1,942.13 = 883.79/x
  3. Step 3: Cross multiply
    1,295.67x = 1,942.13 × 883.79
  4. Step 4: Simplify right side
    1,295.67x = 1,716,420.94
  5. Step 5: Solve for x
    x = 1,716,420.94/1,295.67
  6. Step 6: Final answer
    x = 1,324.74

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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.