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Finding the Fourth Proportional to 919.58, 1,379.30 and 817.78

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Solution

The fourth proportional to 919.58, 1,379.30 and 817.78 is: 1,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.58 : 1,379.30 = 817.78 : x
  2. Step 2: Convert to fraction form
    919.58/1,379.30 = 817.78/x
  3. Step 3: Cross multiply
    919.58x = 1,379.30 × 817.78
  4. Step 4: Simplify right side
    919.58x = 1,127,963.95
  5. Step 5: Solve for x
    x = 1,127,963.95/919.58
  6. Step 6: Final answer
    x = 1,226.61

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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.