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Finding the Fourth Proportional to 994.05, 1,371.09 and 657.57

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Solution

The fourth proportional to 994.05, 1,371.09 and 657.57 is: 906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.05 : 1,371.09 = 657.57 : x
  2. Step 2: Convert to fraction form
    994.05/1,371.09 = 657.57/x
  3. Step 3: Cross multiply
    994.05x = 1,371.09 × 657.57
  4. Step 4: Simplify right side
    994.05x = 901,587.65
  5. Step 5: Solve for x
    x = 901,587.65/994.05
  6. Step 6: Final answer
    x = 906.98

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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.