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Finding the Fourth Proportional to 919.88, 1,379.90 and 795.23

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Solution

The fourth proportional to 919.88, 1,379.90 and 795.23 is: 1,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.88 : 1,379.90 = 795.23 : x
  2. Step 2: Convert to fraction form
    919.88/1,379.90 = 795.23/x
  3. Step 3: Cross multiply
    919.88x = 1,379.90 × 795.23
  4. Step 4: Simplify right side
    919.88x = 1,097,337.88
  5. Step 5: Solve for x
    x = 1,097,337.88/919.88
  6. Step 6: Final answer
    x = 1,192.91

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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.