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Finding the Fourth Proportional to 920.97, 1,379.03 and 758.16

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Solution

The fourth proportional to 920.97, 1,379.03 and 758.16 is: 1,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.97 : 1,379.03 = 758.16 : x
  2. Step 2: Convert to fraction form
    920.97/1,379.03 = 758.16/x
  3. Step 3: Cross multiply
    920.97x = 1,379.03 × 758.16
  4. Step 4: Simplify right side
    920.97x = 1,045,521.59
  5. Step 5: Solve for x
    x = 1,045,521.59/920.97
  6. Step 6: Final answer
    x = 1,135.24

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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.