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Finding the Fourth Proportional to 927.90, 1,391.49 and 774.81

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Solution

The fourth proportional to 927.90, 1,391.49 and 774.81 is: 1,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.90 : 1,391.49 = 774.81 : x
  2. Step 2: Convert to fraction form
    927.90/1,391.49 = 774.81/x
  3. Step 3: Cross multiply
    927.90x = 1,391.49 × 774.81
  4. Step 4: Simplify right side
    927.90x = 1,078,140.37
  5. Step 5: Solve for x
    x = 1,078,140.37/927.90
  6. Step 6: Final answer
    x = 1,161.91

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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.