Home / 1,011.20-1,396.24-789.77

Finding the Fourth Proportional to 1,011.20, 1,396.24 and 789.77

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Solution

The fourth proportional to 1,011.20, 1,396.24 and 789.77 is: 1,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.20 : 1,396.24 = 789.77 : x
  2. Step 2: Convert to fraction form
    1,011.20/1,396.24 = 789.77/x
  3. Step 3: Cross multiply
    1,011.20x = 1,396.24 × 789.77
  4. Step 4: Simplify right side
    1,011.20x = 1,102,702.13
  5. Step 5: Solve for x
    x = 1,102,702.13/1,011.20
  6. Step 6: Final answer
    x = 1,090.49

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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.