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Finding the Fourth Proportional to 1,042.09, 1,438.85 and 687.94

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Solution

The fourth proportional to 1,042.09, 1,438.85 and 687.94 is: 949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.09 : 1,438.85 = 687.94 : x
  2. Step 2: Convert to fraction form
    1,042.09/1,438.85 = 687.94/x
  3. Step 3: Cross multiply
    1,042.09x = 1,438.85 × 687.94
  4. Step 4: Simplify right side
    1,042.09x = 989,831.84
  5. Step 5: Solve for x
    x = 989,831.84/1,042.09
  6. Step 6: Final answer
    x = 949.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.