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Finding the Fourth Proportional to 919.29, 1,378.04 and 703.77

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Solution

The fourth proportional to 919.29, 1,378.04 and 703.77 is: 1,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.29 : 1,378.04 = 703.77 : x
  2. Step 2: Convert to fraction form
    919.29/1,378.04 = 703.77/x
  3. Step 3: Cross multiply
    919.29x = 1,378.04 × 703.77
  4. Step 4: Simplify right side
    919.29x = 969,819.69
  5. Step 5: Solve for x
    x = 969,819.69/919.29
  6. Step 6: Final answer
    x = 1,054.97

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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.