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Finding the Fourth Proportional to 919.06, 1,378.73 and 302.63

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Solution

The fourth proportional to 919.06, 1,378.73 and 302.63 is: 453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.06 : 1,378.73 = 302.63 : x
  2. Step 2: Convert to fraction form
    919.06/1,378.73 = 302.63/x
  3. Step 3: Cross multiply
    919.06x = 1,378.73 × 302.63
  4. Step 4: Simplify right side
    919.06x = 417,245.06
  5. Step 5: Solve for x
    x = 417,245.06/919.06
  6. Step 6: Final answer
    x = 453.99

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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.